(B) We have the expression $4y^{2}-4y+1$.This can be rewritten as $(2y)^{2}-2(2y)(1)+(1)^{2}$.Using the algebraic identity $a^{2}-2ab+b^{2}=(a-b)^{2}$

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(B) We have the expression $4y^{2}-4y+1$.This can be rewritten as $(2y)^{2}-2(2y)(1)+(1)^{2}$.Using the algebraic identity $a^{2}-2ab+b^{2}=(a-b)^{2}$,where $a=2y$ and $b=1$,we get:$(2y-1)^{2}$.Thus,the factors are $(2y-1)(2y-1)$.

Class 9 Mathematics Polynomials Textbook - Polynomials

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Factorise the following using appropriate identities : $4 y^{2}-4 y+1$

A
$(2y-1)(2y+1)$
B
$(2y-1)(2y-1)$
C
$(2y+1)(2y+1)$
D
$(4y-1)(y-1)$

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Factorise the following using appropriate identities : $4 y^{2}-4 y+1$

Similar Questions

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?$\text{Volume} : 12ky^{2} + 8ky - 20k$

Use suitable identities to find the products: $(x+4)(x+10)$

Use suitable identities to find the products: $(x+8)(x-10)$

Factorise: $x^{3}+13x^{2}+32x+20$

Divide the polynomial $3x^{4} - 4x^{3} - 3x - 1$ by $x - 1$.

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What are the possible expressions for the dimensions of the cuboids whose volumes are given below?
$\text{Volume} : 12ky^{2} + 8ky - 20k$