Factorise

$8 x^{3}+27 y^{3}+125 z^{3}-90 x y z$

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$(2 x+3 y+5 z)\left(4 x^{2}+9 y^{2}+25 z^{2}-6 x y\right.$$-15 y z-10 z x)$

Similar Questions

The polynomial $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ when divided by $x+1$ leaves the remainder $19 .$ Find the values of $a .$ Also find the remainder when $p(x)$ is divided by $x+2.$

Classify the following polynomials as polynomials in one variable, two variables etc.

$x y+y z+z x$

If $a+b+c=5$ and $a b+b c+c a=10,$ then prove that $a^{3}+b^{3}+c^{3}-3 a b c=-25.$

Expand

$(x+5 y)(x-5 y)$

Factorise the following quadratic polynomials by splitting the middle term

$x^{2}+2 x-143$