Question

If

Answer 1

The expression that equals 3C+3D in standard form is:

x²+7x+1

Given:

C = -x+2

and D = x²+8x-1

we are asked to find out an expression which equals 3C+3D in standard form.

based on the conditions, formulate:

3C+3D

substitute C and D values.

⇒ 3(-x+2) + 3(x²+8x-1)

Apply multiplicative distribution law:

⇒ open the parenthesis.

⇒ -3x+6+3x²+24x-3

calculate the product or quotient

⇒ arrange the like terms.

⇒ 3x²+21x+3

⇒ Reduce the terms.

⇒ x²+7x+1

Hence we get the equation in standard form.

Learn more about Standard equations here:

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