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Simplify 4(a − 3b) − 2(3a + 5b) and express the answer in the factorised form.

Question

Simplify 4(a − 3b) − 2(3a + 5b) and express the answer in the factorised form.

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Solution

Sure, let's simplify the expression step by step.

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

4(a − 3b) − 2(3a + 5b) becomes 4a - 12b - 6a - 10b.

Step 2: Combine like terms.

4a - 12b - 6a - 10b becomes -2a - 22b.

Step 3: Factorise the expression.

-2a - 22b can be factorised to -2(a + 11b).

So, the simplified and factorised form of 4(a − 3b) − 2(3a + 5b) is -2(a + 11b).

This problem has been solved

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