Answer:
[tex] {8x}^{2} + 4x - 4[/tex]
Step-by-step explanation:
1) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.
[tex] {10x}^{2}+6x-5x-3-(2x-1)(x - 1)[/tex]
2) Use foil method: (a + b ) (c + d) = ac + ad + bc + bd.
[tex] {10x}^{2} + 6x - 5x - 3 - ( {2x}^{2} - 2x - x + 1[/tex]
3) Remove parentheses.
[tex] {10x}^{2} + 6x - 5x - 3 - {2x}^{2} - 2x - x + 1[/tex]
4) Collect like terms.
[tex]( {10x}^{2} - {2x}^{2} ) + (6x - 5x + 2x + x) + ( - 3 - 1)[/tex]
5) Simplify.
[tex] {8x}^{2} + 4x - 4[/tex]
Therefor, the answer is 8x² + 4x - 4.
