Question Multiply and collect like terms: $$ (8 p+4 q)(p-3 q) $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (8*p+4*q)*(p-3*q) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(8p+4qight)\left(p-3qight)$$
- step1: Apply the distributive property:
  $$8p	imes p-8p	imes 3q+4qp-4q	imes 3q$$
- step2: Multiply the terms:
  $$8p^{2}-24pq+4qp-12q^{2}$$
- step3: Add the terms:
  $$8p^{2}-20pq-12q^{2}$$
The result of multiplying $$ (8p+4q)(p-3q) $$ and collecting like terms is $$ 8p^{2}-20pq-12q^{2} $$.
$$ 8p^{2}-20pq-12q^{2} $$

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Multiply and collect like terms:

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