Question

(2x - 1) (5x + 3) - (2x - 1)(x - 1)​

Answer 1

Answer:

${8x}^{2} + 4x - 4$

Step-by-step 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.