Question

use suitable special products to find each of the following: ( 2ab + 5cd ) ( 2 ab - 15 cd ) ​

Answer 1

ANSWER:

Using the IDENTITY (a + b)(a - b) = a^2 - b^2 -

where a = 2ab ; b = 5cd.

$(2ab + 5cd)(2ab - 5cd) \\ = > {(2ab)}^{2} - {(5cd)}^{2} \\ = 4 {a}^{2} {b}^{2} - 25 {c}^{2} {d}^{2}$

Therefore, the Answer is = 4a^2b^2 - 25c^2d^2

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