Question

If D = 1 - s² and C = 3 + 3s, find an expression that equals 2D - 3C in standard form.

Answer 1

To find the expression 2D - 3C in standard form, substitute the given expressions for D and C in the equation. Simplify and combine like terms to get the final expression.

Step-by-step explanation:

To find the expression that equals 2D - 3C in standard form, we substitute the given expressions for D and C in the equation. Substituting the values, we get:

2D - 3C = 2(1 - s²) - 3(3 + 3s)

Simplifying further:

2D - 3C = 2 - 2s² - 9 - 9s

Combining like terms:

2D - 3C = -2s² - 9s - 7

Thus, the expression 2D - 3C in standard form is -2s² - 9s - 7.