4x^2-4x+1 factorise
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Step-by-step explanation:
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
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