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Question
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
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Solution
To multiply, we will use distributive law as follows:
\[\left( 0 . 8a - 0 . 5b \right)\left( 1 . 5a - 3b \right)\]
\[ = 0 . 8a\left( 1 . 5a - 3b \right) - 0 . 5b\left( 1 . 5a - 3b \right)\]
\[ = 1 . 2 a^2 - 2 . 4ab - 0 . 75ab + 1 . 5 b^2 \]
\[ = 1 . 2 a^2 - 3 . 15ab + 1 . 5 b^2 \]
Thus, the answer is \[1 . 2 a^2 - 3 . 15ab + 1 . 5 b^2\].
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