Question

Subtract and simplify.

(y2−7y−5)−(−3y2+3y−4)



A) 2y2−10y+4

B) 4y2−10y−1

C) 2y2−7y−9

D) 4y2+4y−9

Answer 1

`(y^2-7y-5)-(-3y^2+3y-4)\\\\=y^2-7y-5-(-3y^2)-(3y)-(-4)\\\\=y^2-7y-5+3y^2-3y+4\qquad\text{combine like terms}\\\\=(y^2+3y^2)+(-7y-3y)+(-5+4)\\\\=\boxed{4y^2-10y-1}`

Answer 2

(y^2−7y−5)−(−3y^2+3y−4)

y^2(1--3) +y(-7-3) -5--4

4y^2 -10y-1