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Question
Factorise the following:
25x2 + 4y2 + 9z2 – 20xy + 12yz – 30xz
Sum
Solution
25x2 + 4y2 + 9z2 – 20xy + 12yz – 30xz
= (5x)2 + (2y)2 + (3z)2 + 2(5x)(–2y) + 2(–2y)(–3z) + 2(–3z)(5x)
= (5x – 2y – 3z)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?
