If D=2w^{2}-w-7D=2w2−w−7 and C=3w-6,C=3w−6, find an expression that

RACHEL ZEVA

RACHEL ZEVA

Answered question

2022-07-08

If D=2w2−w−7 and C=3w−6, find an expression that equals D+3C in standard form.

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-06-18Added 556 answers

To find an expression that equals D+3C in standard form, we need to substitute the given expressions for D and C and then simplify the resulting expression.
Let's start by substituting the values:
D=2w2w7
C=3w6
Now, let's compute D+3C:
D+3C=(2w2w7)+3(3w6)
Next, distribute the 3 to each term inside the parentheses:
D+3C=2w2w7+9w18
Combine like terms:
D+3C=2w2+8ww718
Simplify further:
D+3C=2w2+7w25
The resulting expression 2w2+7w25 is in standard form, which means the terms are arranged in descending order of the exponent.

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