Free Printable Algrbraic Identities

1.

(a-b)^3

a)

a^3 -b^3-3ab(a-b)

b)

a^3 + b^3-3ab(a-b)

c)

a^3 - b^3+3ab(a-b)

d)

a^3 - b^3-3ab(a+b)

2.

$x^{3\ }-y^3\ =$

a)

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

b)

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

c)

(x + y) ( x - y)

3.

$\left(a\ +b\right)^3=$

a)

$a^3\ +b^3\ +3\ ab\ +3\ b^2a\$

b)

$a^3\ +b^3\ +3\ a^2\ b\ +3\ a\ b^2$

c)

$a^2\ +b^2\ +3\ a^2\ b\ +3\ a\ b^2$

4.

If x + y + z = 0 then $x\ ^3+y^3+z^{3\ }=$

(a)

5.

$x^2+\frac{1}{x^{2\ }}=102,\ then\ x-\frac{1}{x}=?$

a)

8

b)

10

c)

12

d)

13

6.

$If\ a+b+c=9\ and\ ab+bc+ca=23,\ then\ a^2+b^2+c^2\ =?$

a)

35

b)

58

c)

127

d)

153

7.

$\left(a+b\right)^2\equiv$

a)

$a^2+b^2$

b)

$a^2-2ab+b^2$

c)

$a^2-b^2$

d)

$a^2+2ab+b^2$

8.

$\left(a-b\right)^2\equiv$

a)

$a^2+b^2$

b)

$a^2-2ab+b^2$

c)

$a^2-b^2$

d)

$a^2+2ab+b^2$

9.

(x - 8) ( x - 8) = ______

a)

x² - 64

b)

x² + 64

c)

x²- 16x + 64

d)

x² + 16x + 64

10.

If a + b = 5 and ab = 6, find a² + b².

a)

13

b)

12

c)

10

d)

11

Algrbraic Identities

Total questions: 10

Worksheet time: 5mins

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