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Question
Factorise the following:
4x2 + 9y2 + 25z2 + 12xy + 30yz + 20xz
Sum
Solution
4x2 + 9y2 + 25z2 + 12xy + 30yz + 20xz ....[a2 + b2 + c2 + 2ab + 2bc + 2ac = (a + b + c)2]
= (2x)2 + (3y)2 + (5z)2 + 2(2x)(3y) + 2(3y)(5z) + 2(5z)(2x)
= (2x + 3y + 5z)2
shaalaa.com
Factorisation using Identity a2 + b2 + c2 + 2ab + 2bc + 2ac = (a + b + c)2
Is there an error in this question or solution?
