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Rasek [7]
2 years ago
12

Expand. If necessary, combine like terms. (3 + 4x) (3 - 4x)

Mathematics
1 answer:
shepuryov [24]2 years ago
5 0
  • (3 + 4x) (3 - 4x)

We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.

  • = (3)^2 - (4x)^2
  • 9 - 16x^2

<u>Answer</u><u>:</u>

<u>9</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>x</u><u>^</u><u>2</u>

Hope you could understand.

If you have any query, feel free to ask

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Factor Completely:x^2-6x-27
iren [92.7K]

Answer:

\left(x+3\right)\left(x-9\right)

Step-by-step explanation:

6 0
2 years ago
3 1/2 x 14 =___x 7 = ___
motikmotik

Answer:

for the first blank 7 the second blank is 49

Step-by-step explanation:

So what you do is cange 3 1/2 to 3.5 and multiply it by 14 getting 49 the you divide that by 7 and get 7 and then the last step is to multiply 7 times 7 to get 49

4 0
2 years ago
Read 2 more answers
Ann makes $132 for 11 hours. At the same rate, how much would she make fo 8 hours of work
r-ruslan [8.4K]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Factor completely 15x2 - 6x + 5xy – 2y
vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

    equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

    multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

  bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0
2 years ago
A woodworking company handcrafts two types of birdhouses. One is large and the other is small. Both types of houses go through t
Softa [21]

Answer:

44 large houses and 16 small housed should be sold per month to obtain the best returns

Step-by-step explanation:

Let x denotes large bird houses and y denotes small bird houses.

We are given that  Both types of houses go through two technicians; first a shaper and then a painter

The large house requires two hours of the shaper's time and and then a painter.

The small house requires one hour of the shaper's time and two hours of the painter's time.

We are given that The shaper has 104 hours and the painter has 76 hours of time available this month.

So, 2x+ y \leq 104

x+2y \leq76

x \geq 0

y \geq 0

Plot the lines on the graph

Refer the attached graph

The boundary points of feasible region are :

(0,0),(0,38),(44,16),(52,0)

Profit on the large house is $6 and on the small house is $11.

So, P=6x+11y

At(0,0)

P=0

At(0,38)

P=6(0)+11(38)=418

At (44,16)

P=6(44)+11(16)=440

At(52,0)

P=6(52)+11(0)=312

So, The company gets the best returns at(44,16)

So, 44 large houses and 16 small housed should be sold per month to obtain the best returns

5 0
3 years ago
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