factorise : 9x^2+16y^2+25z^2+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)
use identity
a² + b² + c² + 2ab + 2bc + 2ac = (a + b + c)²
a = 3x
b = 4y
c = 5z
= (3x + 4y + 5z)²
9x²+16y²+25z²+24xy+40yz+30xz = (3x + 4y + 5z)²
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