Identity (a^3+b^3)

Q.

$\left(x+3\right)\left(x+7\right)$. Solve using identity.

Q.

Write the following numbers in expanded form

a)7×10⁷ , b) 9×10^-4

Q.

Expand $(4x+5y{)}^3$.

Q.

100001^2=????

Q. Using identities, evaluate.
(A) 1.05×9.5

Q.

$a^3+b^3=$

1. $(a+b)(a^2+b^2-ab)$

2. $(a+b{)}^3-3ab(a+b)$

3. $(a+b{)}^3+3ab(a+b)$

4. $(a+b)(a^2+b^2+ab)$

Q. (2x+5x) (4x2-10+25x2) =

1. $8x^3+\frac{125}{x^3}$
2. $4x^3+\frac{125}{x^2}$
3. $4x^2+\frac{25}{x^3}$
4. $8x^2+\frac{25}{x^2}$

Q. Expand- (2m-5)

Q. Find the value of ${998}^2$ by using $(a-b{)}^2$ identity.
$\left[2\right]$

Q. What is the value of the expansion of (4 + 2)(4 + 2)(4 + 2)?

1. 216
2. 1021
3. 949
4. 891

Q.

The result of the following expression $(a+b)(a^2+b^2-ab)$ is ___.

1. $(a{)}^3-(b{)}^3$

2. $(a+b{)}^3$

3. $(a-b{)}^3$

4. $(a{)}^3+(b{)}^3$

Q.

Evaluate the expression $8x^3+125y^3$.

Q. express the following as a rational number with positive exponent:
[2/9]^-2/[2/9]^-3*[2/9]^-4

Q. The value of expression $\frac{2+1}{2\times 2\times 2+1\times 1\times 1}$ is equal to

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{5}$
4. $\frac{1}{1}$