Question

Expand (3p − 2q + 4r)² using identity . Mention the identity used.​

Answer 1

Answer:

9p²+4q²+16r²-12pq+24pr-16qr

Step-by-step explanation:

Identity ised:-(a+b+c)²

(a)²+(b)²+(c)²+2ab+2ac+2bc

(3p)²+(-2q)²+(4r)²+2×3p×-2q+2×3p×4r+2×-2q×4r

9p²+4q²+16r²-12pq+24pr-16qr

Answer 2

Answer:

9p2−12pq+4q2+24pr−16qr+16r2

Step-by-step explanation:

$by \: using \: (a + b)^{2} = a ^{2} + 2ab + b {}^{2}$

${(3p - 2q)}^{2} + 2(3p - 2q)(4r) + {(4r)}^{2}$

${9p}^{2} - 2(3p)(2q) + 4 {q}^{2} + 24pr - 16qr + 16 {r}^{2}$

$9 {p}^{2} - 12pq + 4 {q}^{2} + 24pr - 16qr + 16 {r}^{2}$