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