Question

Find the sum of 6x^2+10x-16x 2 +10x−1 and -5x^2-2x+1−5x^2 −2x+1.

Answer 1

`(6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x`

Answer 2

-21x² + 8x + 2

Explanation:

Addition of two polynomials:

Like terms have same variable with same power. Combine like terms.

(-16x² & -5x² are like terms ; 10x and (-2x) are like terms ; (1 and 1 are constants)

-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1

= -16x² - 5x² + 10x - 2x + 1 + 1

= -21x² + 8x + 2