Question

I don’t get this pls help

Answer 1

Answer: 12x⁵ + 1x³ + 9x² + 4

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!

Answer 2

4 + 9x² + 1x³ + 12x⁵

Explanation:

3x² + 6x² = (3 + 6)x² = 9x²

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

= 4 + 9x² + 1x³ + 12x⁵