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2 years ago

What is the answer to the question

Mathematics

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

From top to bottom:

Step-by-step explanation:

You just simply add the number in the top row and the number in the column together.

2 + 1 = 3

4 + 3 = 7

2 + 4 = 6

6 + 6 = 12

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Evaluate g(p)•h(p) by modeling or by using the distribution property

Nataly [62]

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Solution:

Given data:

$g(p)=(p-2)$ and $h(p)=\left(p^{3}+4 p^{2}-2\right)$

To find $g(p) \cdot h(p)$ :

$g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)$

Distributive property: $a(b+c)=ab + ac$

$= p\left(p^{3}+4 p^{2}-2\right) -2\left(p^{3}+4 p^{2}-2\right)$

$= \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)$

$= p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4$

Arrange and add/subtract same powers.

$= p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4$

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Hence $g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4$

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