Question

If C=x^{2}+7C=x 2 +7 and D=3x^{2}-4x+3,D=3x 2 −4x+3, find an expression that equals 3C+3D3C+3D in standard form.

Answer 1

3C + 3D = 12x² -12x + 30

Explanation:

Given

• C = x² + 7

• D = 3x² - 4x + 3

To determine

• 3C + 3D

The expression is given by

3C + 3D

substituting C = x² + 7 and D = 3x² - 4x + 3

= 3(x² + 7) + 3(3x² - 4x + 3)

= 3x² + 21 + 9x² - 12x + 9

= 12x² -12x + 30

Thus, the expression in standard form is:

3C + 3D = 12x² -12x + 30