Question

If B=-3x-7x^{2}B=−3x−7x 2 and C=-x^{2}-8-x,C=−x 2 −8−x, find an expression that equals 3B-3C3B−3C in standard form.

Answer 1

To find the expression that equals 3B - 3C in standard form, substitute the given values of B and C into the expression and simplify.

Step-by-step explanation:

To find the expression that equals 3B - 3C in standard form, we substitute the given values of B and C into the expression and simplify.

Given:

B = -3x - 7x^2

C = -x^2 - 8 - x

Substituting:

3B - 3C = 3(-3x - 7x^2) - 3(-x^2 - 8 - x)

Simplifying:

3B - 3C = -9x - 21x^2 + 3x^2 + 24 + 3x

Combining like terms:

3B - 3C = -21x^2 - 6x + 24