factorise
7) 4x² + 4x + 1
Answers
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Answer:
(4x²+4x)+1
4x(x+1)+1
(4x+1) (x+1)
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1
Step-by-step explanation:
Given: 4x ^2+4x+1
=4x ^2+2x+2x+1, (split middle term so that resultant is same)
=(4x ^2+2x)+(2x+1), (group pair of terms)
=2x(2x+1)+1(2x+1), (factor each binomials)
=(2x+1)(2x+1), (factor out common factor (2x+1))
=(2x+1) ^2
Aliter, use (a+b)^ 2=a ^2+2ab+b ^2
⇒4x ^2+4x+1=(2x) ^2+2×2x+1 ^2
=(2x+1) ^2
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