Question

If D=1+4p-6p^{2}D=1+4p−6p

2
and C=1-p,C=1−p, find an expression that equals 2D-3C2D−3C in standard form.

Answer 1

The expression that equals 2D - 3C in standard form is -6p^2 + 11p - 1.

Step-by-step explanation:

To find an expression that equals 2D-3C in standard form, we first substitute the given values of D and C into the expression.

Given that D = 1 + 4p - 6p^2 and C = 1 - p, we have:

2D - 3C = 2(1 + 4p - 6p^2) - 3(1 - p)

Simplifying this expression gives:

2D - 3C = 2 - 6p^2 + 8p - 3 + 3p

Combining like terms, we get:

2D - 3C = -6p^2 + 11p - 1

Therefore, the expression that equals 2D - 3C in standard form is -6p^2 + 11p - 1.