Question

factorise 27y cube + 125z cube

Answer 1

(3y+5z)(9ysauare +25zsquare -15yz) hope it will be help you

Answer 2

Hi there !!
Here's your answer

Given,
To factorise

27y³ + 125z³

In this, the algebraic identity
x³ + y³ = (x + y)(x² - xy + y²) will be used ,
we know,
that (3y) when cubed will be written as 27y³
and
(5z) when cubed will be written as 125z³


So,
substituting the values,
we have,

( 3y + 5z)( (3y)² - (3y)(5z) + (5z)²)



$= (3y + 5z)(9y {}^{2} - 15yz + 25 {z}^{2} )$
is the final answer