Question

If B=x-4+x² and A=2+x², find an expression that equals 3B-3A ir standard form.

A) 6x - 18
B) 2x² - 18
C) 3x - 12
D) 6x² - 18

Answer 1

To find an expression that equals 3B-3A, substitute the given expressions for B and A into the equation and simplify to get the final expression in standard form.

Step-by-step explanation:

To find an expression that equals 3B-3A in standard form, we need to substitute the given expressions for B and A into the equation.

Given: B = x-4+x² and A = 2+x².
Substituting the values into the equation: 3B-3A = 3(x-4+x²) - 3(2+x²).

Simplifying the expression: 3(x-4) + 3x² - 3(2+x²) = 3x-12 + 3x² - 6 - 3x² = 6x² - 3x - 18.

Therefore, the expression that equals 3B-3A in standard form is 6x² - 3x - 18.