Question

15. Multiply :( 2.5 a - 0.5 b) and ( 2.5 a + 0.5 b)​

Answer 1

Answer:

$hope \: this \: help \: u.........$

Answer 2

Given:

(2.5 a - 0.5 b) and ( 2.5 a + 0.5 b)​

To find:

The product of the given terms

Solution:

The required product is 0.25(25$a^{2}$-$b^{2}$).

We will multiply the terms of both brackets to obtain the required product.

We are given the following-

(2.5 a - 0.5 b) and ( 2.5 a + 0.5 b)​

Since the terms in both brackets are the same but with a different sign, the identity that will be used here is (a-b)(a+b)=$a^{2} -b^{2}$.

We will multiply the given brackets.

On multiplying, we get

=(2.5 a - 0.5 b) × (2.5 a + 0.5 b)​

=2.5a(2.5 a + 0.5 b) -0.5b(2.5 a + 0.5 b)

=6.25$a^{2}$+1.25ab-1.25ab-0.25$b^{2}$

=6.25$a^{2}$-0.25$b^{2}$

=0.25(25$a^{2}$-$b^{2}$)

Therefore, the required product is 0.25(25$a^{2}$-$b^{2}$).