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Why is (3x + 5) (x - 2) + (2x - 3) (x - 2) not in factored form?

math 117

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It is not in factored form because each term has the common factor (x-2) which has not been factored out.
So (3x+5)(x-2) + (2x-3)(x-2) =
(x-2)(3x+5) + (x-2)(2x-3) = Common factors are written on the left
(x-2) [ (3x + 5) + (2x - 3) ]. Now (x-2) is factored out. This could be simplified.

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The answer to (3x + 5) (x - 2) + (2x - 3) (x - 2) not in factored form is (3x^2-x-10) + (2x^2-7a+6). First, you simplify the first part of the equation by multiplying numbers in the two brackets. Finally, multiply the numbers in the second bracket.

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There are 2 (x-2) so there should be one (x-2)squared

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(5)(7)+(8)(7) is very similar to the problem you have. 7 is a gcf for me....for you it's (x-2)
(7)(5+8) shows the gcf taken out. Now simplify to (7)(13). Now it shows two factors.....no plus sign between the terms. Now you do yours.