Question

Find the product of (2 pq – q2 ) and (3p2

+ 4q) and verify the result when p = 2 and q = -2

STEPS BY STEPS PLEASE​

Answer 1

Step-by-step explanation:

Given,

p = 2 ; q = -2

To find:- $(2pq - q^{2})(3p^2+4q)$

• by distributive law

$=(2pq)(3p^2)+2pq(4q)-q^2(3p^2)-q^2(4q)$

$= 2p^3q+8pq^2-3p^2q^2-4q^4$

Verify:- $=2(2^3)(-2)+8(2)(-2)^2-3(2)^2(-2)^2-4(-2)^2$$=2(8)(-2)+8(2)(4)-3(4)(4)-4(4)$

$=-32$