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Expand.
Your answer should be a polynomial in standard form.

(-5d+8)(d-3)=

Expand. $\newline$ Your answer should be a polynomial in standard form. $\newline$ $(-5d+8)(d-3)$ =

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Multiply two binomials

Full solution

Q. Expand.

\newline

Your answer should be a polynomial in standard form.

\newline

(-5d+8)(d-3)

=

Apply distributive property: Apply the distributive property to expand the expression $(-5d+8)(d-3)$ . $\newline$ We will distribute each term in the first polynomial $(-5d+8)$ with each term in the second polynomial $(d-3)$ .
Multiply $-5d$ by $d$ : Multiply $-5d$ by $d$ . $\newline$ $-5d \times d = -5d^2$ $\newline$ This gives us the first term of the expanded polynomial.
Multiply $-5d$ by $-3$ : Multiply $-5d$ by $-3$ . $\newline$ $-5d \times -3 = 15d$ $\newline$ This gives us the second term of the expanded polynomial.
Multiply $8$ by $d$ : Multiply $8$ by $d$ . $\newline$ $8$ \times d = $8$ d $\newline$ This gives us the third term of the expanded polynomial.
Multiply $8$ by $-3$ : Multiply $8$ by $-3$ . $\newline$ $8 \times -3 = -24$ $\newline$ This gives us the fourth term of the expanded polynomial.
Combine terms: Combine all the terms to get the polynomial in standard form. $\newline$ The expanded form is the sum of the terms from steps $2$ to $5$ . $\newline$ $-5d^2 + 15d + 8d - 24$
Combine like terms: Combine like terms $15d$ and $8d$ . $15d + 8d = 23d$ Now we have the simplified expanded polynomial. $-5d^2 + 23d - 24$

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