Simplify 3p^2q+3p(2pq-4)+5p^3
2 answers:
Step by Step
3p^2q+3p(2pq−4)+<span>5p^3
</span>
Distribute:
<span>=<span><span><span><span><span>3p^2</span>q</span>+<span><span>(3p)</span><span>(<span>2pq</span>)</span></span></span>+<span><span>(3p)</span><span>(−4)</span></span></span>+<span>5p^3</span></span></span><span>=<span><span><span><span><span><span>3p2</span>q</span>+<span><span>6p2</span>q</span></span>+</span>−12p</span>+<span>5<span>p3
</span></span></span></span>Combine Like Terms:
<span>=<span><span><span><span><span>3p^2</span>q</span>+<span><span>6p^2</span>q</span></span>+<span>−12p</span></span>+<span>5p^3</span></span></span><span>=<span><span><span>(<span>5p^3</span>)</span>+<span>(<span><span><span>3p^2</span>q</span>+<span><span>6p^2</span>q</span></span>)</span></span>+<span>(<span>−12p</span>)</span></span></span><span>=<span><span><span>5p^3</span>+<span><span>9p^2</span>q</span></span>+<span>−<span>12<span>p
</span></span></span></span></span>=<span>5p^3+9p^2q−12p</span>
Distribute
a(b+c)=ab+ac
3p(3pq-4)=9p^2q-12p
we have
3p^2q+9p^2q-12p+5p^3
add like terms
4p^3+12p^2q-12p
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