( 4 x^2 – 4x + 1 ) by ( 2 x^2+ x )
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( 4 x^2 – 4x + 1 ) by ( 2 x^2+ x )
step by step like this
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Step-by-step explanation:
(2x)
2
−2(2x)(1)+1
2
2 Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)
2
=a
2
−2ab+b
2
.
\frac{{(2x-1)}^{2}}{2{x}^{2}+x}
2x
2
+x
(2x−1)
2
3 Factor out the common term xx.
\frac{{(2x-1)}^{2}}{x(2x+1)}
x(2x+1)
(2x−1)
2
Done