Question

Which Polynomial represents the difference below?

5x²+9x+3
- (6x²-3x)

A. -x²+6x+3
B. -x²+12x+3
C. 5x²+3x+3
D. 5x²+6x+3

Answer 1

5x² +9x+3−(6x²−3x)

1 Remove parentheses.

5x²+9x+3−6x²+3x

2 Collect like terms.

(5x² −6x² )+(9x+3x)+3

3 Simplify.

-x² +12x+3 which is B

Answer 2

The answer is B

Explanation:

5x² +9x +3 - (6x ² -3x)

this is easier if you distribute the negative in front of the perenthesis so...

5x² +9x +3 + (-6x² + 3x)

then you just combine the terms with the same variable and exponent

-x² +12x +3