Question

simplify by using standard identities even mention the identity pls:

Answer 1

Answer:

4p² - 4q²

Step-by-step explanation:

Given Equation is (2.5p - 1.5q)² - (1.5p - 2.5q)²

We know that a² - b² = (a + b)(a - b).

= (2.5p - 1.5q + 1.5p - 2.5q)(2.5p - 1.5q - 1.5p + 2.5q)

= (2.5p + 1.5q - 1.5q - 2.5q)(2.5p - 1.5p - 1.5q + 2.5q)

= (4p - 4q)(p + q)

= 4[p + q][p - q]

= 4[p² - q²]

= 4p² - 4q².

Hope it helps!

Answer 2

Step-by-step explanation:

Let's simplify step-by-step.

(2.5p−1.5q)2−(1.5p−2.5q)2

Distribute:

=6.25p2+−7.5pq+2.25q2+−2.25p2+7.5pq+−6.25q2

Combine Like Terms:

=6.25p2+−7.5pq+2.25q2+−2.25p2+7.5pq+−6.25q2

=(6.25p2+−2.25p2)+(−7.5pq+7.5pq)+(2.25q2+−6.25q2)

=4p2+−4q2

Answer:

=4p2−4q2