Question
Factorize the using appropriate identity: $4{y^2} - 4y + 1$
✓
Answer
$4{y^2} - 4y + 1 = {\left( {2y} \right)^2} - 2 \times 2y \times 1 + {\left( 1 \right)^2}$
We can observe that we can apply the identity ${\left( {x - y} \right)^2} = {x^2} - 2xy + {y^2} \Rightarrow {\left( {2y} \right)^2} - 2 \times 2y \times 1 + {\left( 1 \right)^2} = {\left( {2y - 1} \right)^2}$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Determine the degree of the following polynomial:
$–10$
→$–10$
Find an irrational number between $5$ and $6.$
→Find the value of the polynomial $5 x-4 x^2+3$ at $x=0$
→Given $4725=3^\text{a}\ 5^\text{b}\ 7^\text{c}$ find,The value of $2^{-\text{a}}3^\text{b}7^\text{c}$
→Define zero or root of a polynomial.
Find the volume of a sphere whose radius is $7 \ cm$
→Factorise:
$a(a+b-c)-b c$
→$a(a+b-c)-b c$
$l$ and $m$ are two parallel lines intersected by another pair of parallel lines $p$ and $q$. Show that $\Delta ABC \cong \Delta CDA.$
→Give an example of two irrational numbers whose:
Product is a rational number.
Product is a rational number.
Evaluate the product without multiplying directly: $103 \times 107$
→