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3 years ago

Which of the expressions below can be factored using the difference of squares method?

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

Answer:

<em>The second choice is correct. It can be factored as:</em>

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

<u>The Difference of Squares Method for Factoring</u>

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

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Step-by-step explanation: because its a real number

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3 years ago

How do I solve this?

Hunter-Best [27]

9514 1404 393

Answer:

x = 10
y = 19

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

(8x +40)° +(6x)° = 180°

14x +40 = 180 . . . . . . . . . divide by °, collect terms

14x = 140 . . . . . . . . . subtract 40

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We can use the same approach for y:

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5 0

3 years ago

Solve the system by substitution 5x+y=-10. 4x-7y=-8

storchak [24]

Answer:

x = -2 and y = 0

Step-by-step explanation:

5x + y = -10

4x - 7y = -8

Rearrange the first equation to equal y.

5x + y = -10

y = -10 - 5x

Replace y in the second equation with the first equation.

4x - 7y = -8

4x - 7(-10 - 5x) = -8

4x - (-70 -35x) = -8

4x + 70 + 35x = -8

Rearrange the equation to find x.

4x + 35x = -8 - 70

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3 years ago

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Vlad [161]

First, set up what you know. Twice the sum of a number and seven means: 2x+7. Three times the difference of the number and 8 is 3(x-8).

Set both of them equal to each other and you'll get this:
2x+7 = 3(x-8)
Afterwards just follow through with algebra.
2x+7 = 3x - 24

2x + 31 = 3x

31 = 3x - 2x

31 = x

Afterwards check your work to see if it is correct.
2(31) + 7 = 3( 31 - 8 )

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4 0

3 years ago

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saul85 [17]

Answer:

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Step-by-step explanation:

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5x $\leq$ 5 <=>

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For III: 1 $\leq$ 1 Correct

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7 0

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