Question

factorize 125x³+64y³​

Answer 1

Answer:

125x³-64y³

=(5x)³-(4y)³

now,

5x³-4y³ [identity:a³-b³=(a-b)[a²+ab+b²]

(5x-4y)[(5x)²+(4y)²+5x×4y]

(5x-4y)[25x²+16y²+20xy]

hope this answer will help you.

Answer 2

125x³ + 64y³ = (5x + 4y)(25x² – 20xy + 16y²)

Given :

The expression 125x³ + 64y³

To find :

Factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

125x³ + 64y³

Step 2 of 2 :

Factorise the expression

125x³ + 64y³

$\sf = {(5x)}^{3} + {(4y)}^{3}$

$\sf = (5x + 4y) \{ \: {(5x)}^{2} - 5x.4y + {(4y)}^{2} \}$

= (5x + 4y)(25x² – 20xy + 16y²)