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Alinara [238K]
2 years ago
15

I don’t get this pls help

Mathematics
2 answers:
diamong [38]2 years ago
8 0

Answer: <em>12</em>x⁵ + <em>1</em>x³ + <em>9</em>x² + <em>4</em>

Step-by-step explanation:

The expression is:

(4 + 3x² + 8x³) + (-7x³ + 12x⁵ + 6x²)

Now, looking at this expression, we can see a '+' behind the expression in the parenthesis.

To make this easier to distribute, you can change the expression into:

(4 + 3x² + 8x³) + 1 (-7x³ + 12x⁵ + 6x²)

So now you're distributing '+ 1' to the expression in the parenthesis

(+ 1 × -7x³) + (+ 1 × 12x⁵) + (+ 1 × 6x²)

-7x³ + 12x⁵ + 6x²

Now the expression is:

(4 + 3x² + 8x³) -7x³ + 12x⁵ + 6x²

The parenthesis on '4 + 3x² + 8x³' can be removed.

4 + 3x² + 8x³ -7x³ + 12x⁵ + 6x²

Now move all like terms together. I prefer to order the expression from the variable and coefficient that have the greatest exponent to those that have the least exponent.

12x⁵ + 8x³ - 7x³ + 3x² + 6x² + 4

12x⁵ + x³ + 9x² + 4

Hope this helped!

SashulF [63]2 years ago
6 0

Answer:

4 + 9x² + 1x³ + 12x⁵

Step-by-step explanation:

3x² + 6x² = (3 + 6)x² = 9x²

4 + 3x² + 8x³ + (-7x³ + 12x⁵ +6x²) = 4 + <u>3x² + 6x² </u> + <u>8x³ - 7x³ </u> + 12x⁵

                                                    = 4 + 9x² + 1x³ + 12x⁵

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