Respuesta :

Answer:

1. 2 ( 5x - 2 )

2. 3x + 21

3. x² - x - 6

Step-by-step explanation:

1.

[tex]2x + 8x - 10 + 6[/tex]

Collect like terms

[tex] = 10x - 10 + 6[/tex]

Calculate the sum

[tex] = 10x - 4[/tex]

Factor out 2 from the expression

[tex] = 2(5x - 2)[/tex]

2.

[tex]3(x + 7)[/tex]

Multiply each term in the parentheses by 3

[tex] = 3x + 3 \times 7[/tex]

Multiply the numbers

[tex] = 3x + 21[/tex]

3.

[tex](x + 2)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex] = x(x - 3) + 2(x - 3)[/tex]

Calculate the product

[tex] = {x}^{2} - 3x + 2x - 2 \times 3[/tex]

Multiply the numbers

[tex] = {x}^{2} - 3x + 2x - 6[/tex]

Collect like terms

[tex] = {x}^{2} - x - 6[/tex]

Hope this helps..

best regards!!

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