Question

find the difference
(-3q^2 + q - 3) - (-5 + 3q)
a 3q^2 + 2q - 2
b -3q^2 + 4q + 2
c none of these
d -3q^2 + 2q - 8
e -3q^2 + 4q - 8
f 7q^4 + 2
g -3q^2 - 2q + 2
h -3q^2 - 2q - 8

Explanation:

Step1: Distribute the negative sign

We have the expression \((-3q^2 + q - 3)-(-5 + 3q)\). Distribute the negative sign to the terms inside the second parentheses: \(-3q^2 + q - 3 + 5 - 3q\).

Step2: Combine like terms

Combine the \(q\) terms: \(q-3q=-2q\). Combine the constant terms: \(-3 + 5 = 2\). The \(q^2\) term remains as \(-3q^2\). So the simplified expression is \(-3q^2-2q + 2\), which matches option G.

Answer:

G. \(-3q^2 - 2q + 2\)