Factorise the following, using the identity a^2- 2ab + b^2= (a - … - Vidyadip

Question

Factorise the following, using the identity $a^2- 2ab + b^2= (a - b)^2$.
$4y^2- 12y + 9$

✓

Answer

$4 y^2-12 y+9$
$=(2 y)^2-2 \times 2 y \times 3+3^2$
$=(2 y-3)^2$
$=(2 y-3)(2 y-3)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Algebraic Expressions, Identities and Factorisation→Algebraic Expressions, Identities and Factorisation — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

For statement given below, determine whether it is always true, sometimes true, or never true. Explain your answer. Mention examples and non-examples as appropriate. Justify your claim using algebra.
If a number is not divisible by 18, then it is also not divisible by 9.

Is it possible to have a regular polygon each of whose exterior angles is $50^\circ ?$

What is the probability that a number selected from the numbers $1, 2, 3,$ _____, $15$ is a multiple of $4?$

Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$9x^2+ 24x + 16$

By what least number should the given number be divided to get a perfect square number? In case, find the number whose square is the new number. $1575$

A farmer has enough food to feed $20$ animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle ?

Factorize of the following expressions: $2ax + bx + 2ay + by$

Obtain the product of
$a,-a^2, a^3$

The cost of $3\frac{1}{2}$ metres of cloth is $\text{Rs}.\ 166\frac{1}{4}$. What is the cost of one metre of cloth?

Using the prime factorisation method, find the following numbers are perfect squares:
$5625$