factorise x²-14x+49 please make it fast
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Step-by-step explanation:
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Step-by-step explanation:
x 2 +14x+49
=x 2 +7x+7x+49, (split middle term so that resultant is same)
=(x 2 +7x)+(7x+49), (group pairof terms)
=x(x+7)+7(x+7), (factor each binomials)
=(x+7)(x+7), (factor out common factor (x+7))
=(x+7) 2
Aliter, use (a+b )2=a 2 +2ab+b 2
⇒x 2 +14x+49=x 2 +2×7x+7 2 =(x+7) 2
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