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Please Simplify the phrase the first two and find the last one

Please Simplify the phrase the first two and find the last one-example-1

1 Answer

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Answer:

1) 23x + 6y

2) 8x - 4y

3) 4x - x² + 7

Explanation:

Simplify:

Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.

5(3x + 6y) + 4 (2x - 6y) = 5*3x + 5*6y + 4*2x - 4*6y

= 15x + 30y + 8x - 24y

Now, combine like terms. Like terms have same variable with same power.

= 15x + 8x + 30y - 24y

= 23x + 6y

2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)

= 12x - 6y - 4x + 2y

= 12x - 4x - 6y + 2y

= 8x - 4y

3) f(x) = 3x + 2

To find f(x +1), replace x with (x +1)

f(x +1) = 3*(x + 1) + 2

= 3*x + 3*1 + 2

= 3x + 3 + 2

=3x + 5

f(2x) = 3*(2x) + 2

= 6x + 2

f(2x) + h(x) = 6x + 2 - x² - 2x + 5

= 6x - 2x - x² +2 + 5

= 4x - x² + 7

User Ryan Charmley
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