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Simplify. 5(2a + b) + 4(2a - b)

Mathematics

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18a + b

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Simplify. 5(2a+b)+4(2a−b)5(2a + b) + 4(2a - b)

  1. Distribute the numbers outside the parentheses to the terms inside.

    5(2a+b)=5×2a+5×b=10a+5b5(2a + b) = 5 \times 2a + 5 \times b = 10a + 5b 4(2a−b)=4×2a−4×b=8a−4b4(2a - b) = 4 \times 2a - 4 \times b = 8a - 4b

  2. Combine the distributed expressions.

    (10a+5b)+(8a−4b)(10a + 5b) + (8a - 4b)

  3. Group like terms.

    (10a+8a)+(5b−4b)(10a + 8a) + (5b - 4b)

  4. Perform the addition and subtraction for the like terms.

    10a+8a=18a10a + 8a = 18a 5b−4b=1b=b5b - 4b = 1b = b

  5. Write the simplified expression.

    18a+b18a + b
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