4x^2+4x+1 Factorize
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2
Answer:
(2x + 1)^2
Step-by-step explanation:
4x2 + 4x + 1
4x2 + 2x +2x + 1
2x( 2x + 1) + 1 ( 2x + 1)
(2x + 1)2
Answered by
2
Answer:
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
Step-by-step explanation:
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