Question

factorize 27 x^3+125 y^3​

Answer 1

Step-by-step explanation:

it'll become

(3x + 5y)^3

now solve it as (a+b)^3

Answer 2

To factorise:-

27x³ + 125y³

Solution:-

27x³ = (3x)³

And

125y³ = (5y)³

Hence,

27x³ + 125y³

→ (3x)³ + (5y)³

We know that,

a³+b³ = (a+b)(a²+b²-ab)

Hence,

→ (3x+5y)[(3x)²+(5y)²-3x(5y)]

→ (3x+5y)[9x²+25y²- 15xy]

Hence Factorized.