Home > Algebra > Addition and Subtraction of Polynomials

How do you simplify # (-9x^2 - 4x - 4) - (-9x^2 - 11x + 12)#?

Answer 1

# =color(blue)(7x -16#

# (-9x^2 - 4x - 4) - (-9x^2 - 11x + 12)#

# =-9x^2 - 4x - 4 +9x^2 + 11x - 12#

Grouping like terms: # =color(red)((-9x^2 +9x^2)) +color(blue)((-4x + 11x)) -4 - 12# # =0 +color(blue)(7x) -16# # =color(blue)(7x -16#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To simplify the expression (-9x^2 - 4x - 4) - (-9x^2 - 11x + 12), you need to distribute the negative sign inside the parentheses of the second expression, which changes the signs of each term within the parentheses. After distributing, you can then combine like terms. This results in -9x^2 - 4x - 4 + 9x^2 + 11x - 12. Then, you can combine like terms by adding or subtracting coefficients of the same degree of x. In this case, -9x^2 and 9x^2 cancel each other out, as do -4x and 11x. The simplified expression is therefore -4x - 4 - 12, which further simplifies to -4x - 16.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.