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11 April, 01:44

What are the steps of factoring (5m-2) ^2 - (3m-4) ^2?

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  1. 11 April, 02:44
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    We use the formula a^2 - b^2 = (a - b) (a + b);

    We have a = 5m - 2 and b = 3m - 4;

    (5m-2) ^2 - (3m-4) ^2 = (5m - 2 - 3m + 4) x (5m-2 + 3m - 4) = (2m + 2) (8m - 6) = 2 (m + 1) x 2 (4m - 3) = 4 (m+1) (4m-3);
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