Question

Factorise 9x²+16y²+25z²+24xy+40yz+30xz​

Answer 1

Given : 9x² + 16y² + 25z² + 24xy + 40yz + 30xz

To Find : Factorize

Solution:

9x² + 16y² + 25z² + 24xy + 40yz + 30xz

= (3x)² + (4y)² + (5z)² + 2(3x)(4y)  + 2(4y)(5z) + 2(3x)(5z)

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

a = 3x

b = 4y

c =  5z

= ( 3x + 4y + 5z)²

9x² + 16y² + 25z² + 24xy + 40yz + 30xz=  ( 3x + 4y + 5z)²

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