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(2x - 1) (5x + 3) - (2x - 1)(x - 1)​

1 Answer

5 votes

Answer:


{8x}^(2) + 4x - 4

Explanation:

1) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.


{10x}^(2)+6x-5x-3-(2x-1)(x - 1)

2) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.


{10x}^(2) + 6x - 5x - 3 - ( {2x}^(2) - 2x - x + 1

3) Remove parentheses.


{10x}^(2) + 6x - 5x - 3 - {2x}^(2) - 2x - x + 1

4) Collect like terms.


( {10x}^(2) - {2x}^(2) ) + (6x - 5x + 2x + x) + ( - 3 - 1)

5) Simplify.


{8x}^(2) + 4x - 4

Therefor, the answer is 8x² + 4x - 4.

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