Question

4. Expand (3p + 2q - 4)^2
pls explain in detail all the steps​

Answer 1

Answer : 9p^2 + 4q^2 + 16 + 2[ 6pq - 8q -12p ]

Step-by-step explanation:

This represents the form of (a + b + c)^2

and we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)

therefore (3p + 2q - 4)^2 =

(3p)^2 + (2q)^2 + (-4)^2 +2[ (3p X 2q) + (2q X (-4)) + (3p X (-4)) ]

9p^2 + 4q^2 + 16 + 2[ 6pq - 8q -12p ]