Answer: 12x⁵ + 1x³ + 9x² + 4
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!
