Practice30 Create account

Expand $(2 x - 5)^{2}$ using the identity for the square of a difference.

Class 8Standard IdentitiesAlgebra

A $4 x^{2} - 20 x + 25$
B $4 x^{2} - 10 x + 25$
C $4 x^{2} + 20 x + 25$
D $4 x^{2} - 25$

Step-by-Step Solution

(a - b)^{2} = a^{2} - 2 ab + b^{2}

with

a = 2 x, b = 5 : 4 x^{2} - 2 (2 x) (5) + 25 = 4 x^{2} - 20 x + 25

.

Answer: A)

4 x^{2} - 20 x + 25

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Standard Identities practice questions

More Class 8 Standard Identities practice

Use identities to simplify (x + 3)^2 - (x - 3)^2.Riya draws a square garden of side (x + 4) metres. She writes its area using the…A square plot has side (a - b) metres. A second square plot has side (a + b) metres. By…A shopkeeper in Jaipur sells x notebooks at Rs (x + 7) each one day. Using a standard…Meera knows that for any two numbers, (sum)^2 = (square of one) + (square of other) + 2…