Math, asked by hemantpatel1, 1 year ago

25xsq + 4ysq + 9zsq - 20xy - 12yz + 30zx factorise the equation

Answers

Answered by Anonymous
8
Hi there !!
here's your answer

Given,
To factorise

25x² + 4y² + 9z² - 20xy - 12yz + 30zx

This can be factorised by using an algebraic identity similar to that of
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

Taking ,
a = -5x
b = -2y and
c = 3z ,

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

= ( 5x - 2y + 3z ) ² [ Answer. ]

Anonymous: :-)
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