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Daniel [21]
4 years ago
10

Simplify the product. 2p(–3p2 + 4p – 5)

Mathematics
2 answers:
kifflom [539]4 years ago
5 0
Hope this helped you :)

Finger [1]4 years ago
3 0

Answer: 2p(-3p^2+4p-5)=-6p^3+8p^2-10p

Step-by-step explanation:

Given expression: 2p(-3p^2+4p-5)

We can use distributive property which says that:_

a(b+c)=ab+ac, where a ,b and c be any real numbers or variables.

Then,  2p(-3p^2+4p-5)=2p\cdot-3p^2+2p\cdot4p-2p\cdot5

=-6p^{1+2}+8p^{1+1}-10p

Now, we use product law of exponent which says that:-

a^m\times a^n=a^{m+n}

\Rightarrow\ -6p^{1+2}+8p^{1+1}-10p=-6p^3+8p^2-10p

Hence, 2p(-3p^2+4p-5)=-6p^3+8p^2-10p

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