Question

please answer the question​

Answer 1

Answer:

Heyy mate here are your answers.

i hope it will help you.

please mark me as the brainliest .

Step-by-step explanation:

(i).

gugrt

${(2x + 5)}^{2} - {(2x - 5)}^{2} \\ by \: identity \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ = (2x + 5 + 2x - 5){(2x + 5 - 2x + 5)} \\ = (4x)(10) \\ = 40x$

(ii).

$(2a - 7)(2a - 7) \\ = {(2a - 7)}^{2} \\ by \: identity \: {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} \\ = {(2a)}^{2} - (2a)(7) + {7}^{2} \\ = 4 {a}^{2} - 14a + 49$

(iii). 5x²y-15xy²

=5xy(x-y)

[it is maybe wrong,so please check it once.]

(iv).

(a.) a² + 8a + 16

= (a)² + 2(a)(4) + (4)²

by identity, (x+y)² = x² + 2xy + y²

= (a+4)²

=(a+4)(a+4)

(b.) 4p²-9q²

= (2p)² - (3q)²

by identity, x² - y² = (x+y)(x-y)

= (2p+3q)(2p-3q)