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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