Question

factorize 125x^3+343y^3

Answer 1

(5x+7y)(25x2−35x+49y2)

Explanation:

Use the algebraic identity: a3+b3=(a+b)(a2−ab+b2)
125x3+343y3=(5x+7y)(25x2−35xy+49y2)

Answer 2

125x³ + 343y³ = (5x + 7y)(25x² – 35xy + 49y²)

Given :

The expression 125x³ + 343y³

To find :

Factorise the expression

Formula :

a³ + b³ = (a + b)(a² – ab + b² )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

125x³ + 343y³

Step 2 of 2 :

Factorise the expression

We use the formula ,

a³ + b³ = (a + b)(a² – ab + b² )

Thus we get ,

$\sf 125 {x}^{3} + 343 {y}^{3}$

$\sf = {(5x)}^{3} + {(7y)}^{3}$

$\sf = (5x + 7y) \{ \: {(5x)}^{2} - 5x.7y + {(7y)}^{2} \}$

= (5x + 7y)(25x² – 35xy + 49y²)