nourdayek
Answered

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(2x - 1) (5x + 3) - (2x - 1)(x - 1)​

Sagot :

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.

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