Simplify this rational expression: ( x + 2 ) ( x − 1 ) ( x + 10 ) ( x + 2 ) \frac{\left(x+2\right)\left(x-1\right)}{\left(x+10\right)\left(x+2\right)\ } ( x + 1 0 ) ( x + 2 ) ( x + 2 ) ( x − 1 )

( x − 1 ) ( x + 10 ) \frac{\left(x-1\right)}{\left(x+10\right)} ( x + 1 0 ) ( x − 1 )

( x + 2 ) ( x + 10 ) \frac{\left(x+2\right)}{\left(x+10\right)} ( x + 1 0 ) ( x + 2 )

( x + 2 ) ( x + 2 ) \frac{\left(x+2\right)}{\left(x+2\right)\ } ( x + 2 ) ( x + 2 )

( x + 2 ) \left(x+2\right)\ ( x + 2 )

Simplify this rational expression: ( x − 3 ) ( x + 4 ) ( x − 3 ) ( x + 4 ) \frac{\left(x-3\right)\left(x+4\right)}{\left(x-3\right)\left(x+4\right)} ( x − 3 ) ( x + 4 ) ( x − 3 ) ( x + 4 )

( x − 3 ) ( x + 4 ) \frac{\left(x-3\right)}{\left(x+4\right)\ } ( x + 4 ) ( x − 3 )

( x + 4 ) ( x − 3 ) \frac{\left(x+4\right)}{\left(x-3\right)\ } ( x − 3 ) ( x + 4 )

Simplify this rational expression: ( x + 2 ) ( x − 1 ) ( x − 3 ) \frac{\left(x+2\right)}{\left(x-1\right)\ \left(x-3\right)\ } ( x − 1 ) ( x − 3 ) ( x + 2 )

( x + 2 ) ( x − 1 ) \frac{\left(x+2\right)}{\left(x-1\right)\ } ( x − 1 ) ( x + 2 )

( x + 2 ) ( x − 3 ) \frac{\left(x+2\right)\ }{\left(x-3\right)\ } ( x − 3 ) ( x + 2 )

Simplify Rational Expressions

Authored by Kimberly Markiewicz

Mathematics

11th - 12th Grade

CCSS covered

Used 128+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is this a rational expression?

$\frac{\left(x+3\right)}{\left(x+2\right)}$

YES

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is this a rational expression?
$5x+2$

YES

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is this a rational expression?
$\frac{\text{}x^2+3x+2}{\left(x+1\right)\ }$

YES

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{\left(x+2\right)\left(x-1\right)}{\left(x+10\right)\left(x+2\right)\ }$

$\frac{\left(x-1\right)}{\left(x+10\right)}$

$\frac{\left(x+2\right)}{\left(x+10\right)}$

$\frac{\left(x+2\right)}{\left(x+2\right)\ }$

$\left(x+2\right)\$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{\left(x-3\right)\left(x+4\right)}{\left(x-3\right)\left(x+4\right)}$

Does not simplify

$\frac{\left(x-3\right)}{\left(x+4\right)\ }$

$\frac{\left(x+4\right)}{\left(x-3\right)\ }$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{\left(x+5\right)\left(x-3\right)\left(x+1\right)}{\left(x+1\right)\ \left(x-6\right)\ \left(x-3\right)\ }$

$\frac{\left(x+5\right)}{\left(x-6\right)\ }$

$\frac{\left(x+5\right)}{\left(x+1\right)\ }$

$\frac{\left(x+5\right)\left(x+1\right)\ }{\left(x-6\right)\ \left(x-3\right)\ }$

$\frac{\left(x+5\right)\left(x-3\right)\ }{\left(x-6\right)\left(x+1\right)\ }$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{\left(x+2\right)}{\left(x-1\right)\ \left(x-3\right)\ }$

Does not simplify

$\frac{\left(x+2\right)}{\left(x-1\right)\ }$

$\frac{\left(x+2\right)\ }{\left(x-3\right)\ }$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{x^2+2x-3}{x^2+5x-14}$

$\frac{\left(x+1\right)}{\left(x+7\right)}$

$\frac{\left(x+1\right)\left(x-2\right)}{\left(x+7\right)\left(x-2\right)}$

Does not simplify

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{x^2+2x-15}{\left(x+5\right)\left(x+7\right)}$

$\frac{\left(x-3\right)}{\left(x+7\right)}$

$\frac{\left(x+5\right)}{\left(x+7\right)}$

$\frac{\left(x-3\right)}{\left(x+5\right)}$

Does not simplify

Tags

CCSS.HSA.APR.D.6

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify this rational expression:
$\frac{x^2-x-12}{x^2+8x+15}$

$\frac{\left(x-4\right)}{\left(x+5\right)}$

$\frac{\left(x+3\right)}{\left(x+5\right)}$

$\frac{\left(x+3\right)}{\left(x+3\right)}$

Does not simplify

Tags

CCSS.HSA.APR.D.6

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Simplify Rational Expressions

Is this a rational expression? (x+3)(x+2)\frac{\left(x+3\right)}{\left(x+2\right)}(x+2)(x+3)​

Is this a rational expression? 5x+25x+25x+2

Is this a rational expression? x2+3x+2(x+1) \frac{\text{}x^2+3x+2}{\left(x+1\right)\ }(x+1) x2+3x+2​

Simplify this rational expression: (x+2)(x−1)(x+10)(x+2) \frac{\left(x+2\right)\left(x-1\right)}{\left(x+10\right)\left(x+2\right)\ }(x+10)(x+2) (x+2)(x−1)​

Simplify this rational expression: (x−3)(x+4)(x−3)(x+4)\frac{\left(x-3\right)\left(x+4\right)}{\left(x-3\right)\left(x+4\right)}(x−3)(x+4)(x−3)(x+4)​

Simplify this rational expression: (x+5)(x−3)(x+1)(x+1) (x−6) (x−3) \frac{\left(x+5\right)\left(x-3\right)\left(x+1\right)}{\left(x+1\right)\ \left(x-6\right)\ \left(x-3\right)\ }(x+1) (x−6) (x−3) (x+5)(x−3)(x+1)​

Simplify this rational expression: (x+2)(x−1) (x−3) \frac{\left(x+2\right)}{\left(x-1\right)\ \left(x-3\right)\ }(x−1) (x−3) (x+2)​

Simplify this rational expression: x2+2x−3x2+5x−14\frac{x^2+2x-3}{x^2+5x-14}x2+5x−14x2+2x−3​

Simplify this rational expression: x2+2x−15(x+5)(x+7)\frac{x^2+2x-15}{\left(x+5\right)\left(x+7\right)}(x+5)(x+7)x2+2x−15​

Simplify this rational expression: x2−x−12x2+8x+15\frac{x^2-x-12}{x^2+8x+15}x2+8x+15x2−x−12​

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Discover more resources for Mathematics

Is this a rational expression?

$\frac{\left(x+3\right)}{\left(x+2\right)}$

Is this a rational expression?
$5x+2$

Is this a rational expression?
$\frac{\text{}x^2+3x+2}{\left(x+1\right)\ }$

Simplify this rational expression:
$\frac{\left(x+2\right)\left(x-1\right)}{\left(x+10\right)\left(x+2\right)\ }$

Simplify this rational expression:
$\frac{\left(x-3\right)\left(x+4\right)}{\left(x-3\right)\left(x+4\right)}$

Simplify this rational expression:
$\frac{\left(x+5\right)\left(x-3\right)\left(x+1\right)}{\left(x+1\right)\ \left(x-6\right)\ \left(x-3\right)\ }$

Simplify this rational expression:
$\frac{\left(x+2\right)}{\left(x-1\right)\ \left(x-3\right)\ }$

Simplify this rational expression:
$\frac{x^2+2x-3}{x^2+5x-14}$

Simplify this rational expression:
$\frac{x^2+2x-15}{\left(x+5\right)\left(x+7\right)}$

Simplify this rational expression:
$\frac{x^2-x-12}{x^2+8x+15}$