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Ivahew [28]
3 years ago
6

Which expression is equivalent to 4x2 - 4x – 3 in factored form?

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

(2x-3)(2x+1)

Step-by-step explanation:

4x^2 - 4x - 3

we need two numbers that give 12 when multiplied and 4 when subtracted

the numbers are 6 and 2 because 6*2=12 and 6-4=4.

4x^2 - (6-2)x -3

4x^2 -6x +2x -3

take common

2x(2x -3)+1(2x-3)

take (2x-3) as common

(2x-3)(2x*1 + 1*1)

(2x-3)(2x+1)

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Answer: x = 13

Step-by-step explanation:

Reorder the terms:

14 + 2x = 40

Solving

14 + 2x = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + 2x = 40 + -14

Combine like terms: 14 + -14 = 0

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2x = 40 + -14

Combine like terms: 40 + -14 = 26

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Divide each side by '2'.

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Simplifying

x = 13

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1

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