Math, asked by priyamjha38, 5 months ago

4x^2+4x+1 Factorize​

Answers

Answered by micky51
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 ushajosyula96
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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