Question

simplify (7p–8q)² (7p–8q)²​

Answer 1

Answer:

2401p^4+12544p^2q^2+4096q^4

Step-by-step explanation:

(7p-8q)^2.....1

using (a-b)^2

7p*7p-2*7p*8q+8q*8q

=49p^2-112pq+64q^2

(7p-8q)^2.....2

using (a-b)^2

7p*7p-2*7p*8q+8q*8q

=49p^2-112pq+64q^2

therefore, (7p-8q)^2*(7p-8q)^2

=(49p^2-112pq+64q^2)*(49p^2-112pq+64q^2)

=49p^2*49p^2=2401p^4

=-112pq*-112pq=12544p^2q^2

=64q^2*64q^2=4096q^4

ANS= 2401p^4+12544p^2q^2+4096q^4