Algebraic Identities

Evaluate ${10}^3-{15}^3+5^3$

Find the product of $\left(2x+3y+4z\right)\left(4x^2+9y^2+16z^2-6xy-12yz-8zx\right)$

Expand : $\left(3x-1\right)\left(3x+2\right)\left(3x-4\right)$

Expand

 $\left(x+5\right)\left(x+6\right)\left(x+4\right)$

Find the area of square whose side length is $3m+2n-4l$

Expand ${\left(2x+3y+4z\right)}^2$

Expand the following using identities:

 $\left(m+5\right)\left(m-8\right)$

Expand the following using identities:

 $\left(5x+4y\right)\left(5x-4y\right)$

Expand the following using identities:

 ${\left(2a-3b\right)}^2$

Expand the following using identities:

 ${\left(3x+4y\right)}^2$

Expand: ${\left(5a-3b\right)}^3$

If $2 x-3 y-4 z=0$, then find $8x^3-27y^3-64z^3$

By using identity evaluate : $1+\frac{1}{8}-\frac{27}{8}$

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$, find the value of $\frac{a}{bc}+\frac{b}{ac}+\frac{c}{ab}$

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$, find the value of $a^2+b^2+c^2$.

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$ find the value of $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$

By using identity evaluate

$7^3-{10}^3+3^3$

If ${\left(y-\frac{1}{y}\right)}^3=27$, then find the value of  $y^3-\frac{1}{y^3}$.

If $a+\frac{1}{a}=6$, then find the value of $a^3+\frac{1}{a^3}$

Find $x^3-y^3,$ if $x-y=5$ and $xy=14$