Free Printable Special Products ( Square of Binomial/Sum and difference)

1.

What is the product of (x-4)(x-4)?

a)

x²-8x-16

b)

x²-8x-8

c)

x²-8x+16

d)

x²+8x+16

2.

What is (4x²+5)(4x²-5)?

a)

16x⁴- 25

b)

16x² - 25

c)

8x⁴ - 10

d)

8x²- 10

3.

Which of the choices is a perfect square term?

a)

b⁵

b)

x²y⁹

c)

a¹⁰k¹²o¹⁸

d)

r⁷y⁶

4.

(5a⁵ - 2b)²

a)

10a¹⁰ - 10ab + 4b²

b)

25a¹⁰ - 20a⁵b + 4b²

c)

25a¹⁰ + 10a⁵b + 10b²

d)

25a¹⁰ - 7a⁵b + 4b²

5.

What is the area of a rectangle whose length is (9x + 10) cm. and width is (9x - 10) cm.?

a)

81x² - 100 cm.

b)

81x² + 20 sq. cm.

c)

18x² - 180 cu. cm.

d)

81x² - 100 sq. cm.

6.

The square of a binomial always produces a ___________________ .

a)

trinomial

b)

perfect square

c)

perfect square trinomial

d)

quadratic trinomial

7.

Solve for the square of a binomial

(3x + 2)²

a)

6x² + 12x + 8

b)

9x² + 10x + 4

c)

6x² + 5x + 8

d)

9x² + 12x + 4

8.

What is the value of (7m - 5n)² ?

a)

14m² + 2mn - 10n²

b)

49m² - 70mn + 25n²

c)

49m² - 35mn + 25n²

d)

49m² - 70mn - 25n²

9.

It is a kind of algebraic expressions whose products can be easily seen and does not take longer method of multiplication.

a)

Special Product

b)

Special Quotient

c)

Special Polynomial

d)

Special Coefficient

10.

What makes a special product special ?

a)

Pattern

b)

Product

c)

Clue

d)

Exponents

e)

Numerical coefficient

11.

(x+4)²

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

12.

(a-b)(a-b)

a)

a²-b²

b)

a²-4ab+b²

c)

a²-2ab+b²

d)

2a²-4ab+2b²

13.

(2u-4v)²

a)

4u²+ 4uv + 16v²

b)

4u²- 16uv + 16v²

c)

4u²+ 16v²

d)

4u²+ 8uv + 16v²

14.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$

a)

TRUE

b)

FALSE

15.

$(x+y)(x−y)=x^2−y^2$

a)

TRUE

b)

FALSE

16.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$

a)

TRUE

b)

FALSE

17.

$\left(x-y\right)^2=x^2-2xy+y^2$

a)

TRUE

b)

FALSE

18.

What is the product of $\left(2x^2+7y\right)\left(2x^2-7y\right)$ ?

a)

$4x^4-49y^2$

b)

$4x^4-28x^2y-49y^2$

c)

$4x^2-49y^2$

d)

$4x^4+49y^2$

19.

(3x+8)( (a) ) =9x² -64

20.

$\left(11ab^2-5c^2\right)^2=121a^2b^4\ -25b^4$

a)

Correct

b)

Not Correct

Special Products ( Square of Binomial/Sum and difference)

Total questions: 20

Worksheet time: 10mins

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