Question

simplify and then varify the result for given values .(2p+3q)(4p²+12pq+9q²);p=1/2,q=1/3

Answer 1

Answer:

(2p+3q)((2p)^2+2×2p×3q+(3q)^2)

=(2p+3q)(2p+3q)^2

=(2p+3q)^3

=8p^3+27q^3+36p^2q+54pq^2

Explanation:

(2p+3q)((2p)^2+2×2p×3q+(3q)^2)

=(2p+3q)^3

=(2×1/2+3×1/3)^3

=(1+1)^3

=2^3

=8