Question

simplify the following and verify the result for the given values:
(2p+3q)(4p^2 +12pq+9q^2); p=1/2,q=1/3​

Answer 1

Answer:

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

Step-by-step explanation:

distribute the terms in binomial to each term in trinomial,

8p^3+24p^2q+18pq^2+12p^2q+36pq^2+27q^3

simplify,

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

substitute the given value of p and q to the equation,

8(1/2)^3+27(1/3)^3+36(1/2)^2(1/3)+54(1/2)(1/3)^2=8

[(1/2)+3(1/3)][4(1/2)^2 +12(1/2)(1/3)+9(1/3)^2]=8

therefore,

8p^3+27q^3+36p^2q+54pq^2=(2p+3q)(4p^2 +12pq+9q^2)

Answer 2

Answer:

8

Step-by-step explanation:

For Explanation, Refer to the Attachment.

I hope it helps.

Mark my answer as Brainliest.