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Math  /  Numbers & Operations

QuestionWhat is the value of the expression? 3(4−2)−4(2+9)3(4-2)-4(2+9)
A -38 B 38 C 11 D 50

Studdy Solution

STEP 1

1. The expression to evaluate is 3(4−2)−4(2+9) 3(4-2)-4(2+9) .
2. We will use the order of operations (PEMDAS/BODMAS) to simplify the expression.

STEP 2

1. Simplify expressions inside parentheses.
2. Multiply the results by the coefficients outside the parentheses.
3. Subtract the second product from the first product.
4. Determine the final value and match it with the given options.

STEP 3

Simplify the expression inside the first set of parentheses:
4−2=2 4 - 2 = 2

STEP 4

Simplify the expression inside the second set of parentheses:
2+9=11 2 + 9 = 11

STEP 5

Multiply the simplified result of the first parentheses by 3:
3×2=6 3 \times 2 = 6

STEP 6

Multiply the simplified result of the second parentheses by 4:
4×11=44 4 \times 11 = 44

STEP 7

Subtract the second product from the first product:
6−44=−38 6 - 44 = -38

STEP 8

Determine the final value and match it with the given options:
The value of the expression is −38-38, which corresponds to option A.
The value of the expression is:
−38\boxed{-38}

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