Question

What is the of the polynomial?(5X^3+4x^2)-(6x^2-2X-9)

Answer 1

(5x³+4x²) - (6x²-2x-9) equals 5x³ -2x² +2x + 9.

Explanation:

(5x³+4x²) - (6x²-2x-9)

Since there is a minus sign in front of the second expression, then all of the signs within the paraentheses are going to change to their opposites. So, for example, 6x² becomes -6x².

5x³ + (4x²-6x²) + 2x + 9

5x³ -2x² +2x + 9

So, (5x³+4x²) - (6x²-2x-9) equals 5x³ -2x² +2x + 9.

Answer 2

5 x^3 - 2 x^2 + 2 x + 9

Explanation:

5x^3+4x^2)-(6x^2-2x-9)

Distribute the minus sign

5x^3+4x^2)-6x^2+2x+9

Combine like terms

5 x^3 - 2 x^2 + 2 x + 9