Question

Factorise using suitable identities
1) 8x³y³ + 27a³

2) 4x²+9y²+25z²+ 12xy-30yz-20zx​

please answer fast
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Answer 1

Answer:

1) 8 x^3 y^3 + 27a^3

2^3 x^3 y^3 + 3^3 a^3

By identity a^3 + b^3 identity

(2xy)^3 + (3a)^3

(2xy + 3a)(4 x^2 y^2 + 9a^2 - 6axy)...........final factors

2) 4x²+9y²+25z²+ 12xy-30yz-20zx​

by identity (a+b+c)^2

(2x)^2 + (3y)^2 + (-5z)^2 + 2(2x)(3y) + 2(3y)(-5z) + 2(-5z)(2x)

(2x + 3y -5z)^2

(2x + 3y -5z)(2x + 3y -5z)...........final factors

Hope it helps

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