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Svetllana [295]
3 years ago
7

(5x – 3y) (3x + 4y)​

Mathematics
2 answers:
MariettaO [177]3 years ago
6 0

Answer:

\boxed{\red{15 {x}^{2}  + 11xy - 12 {y}^{2}}}

Step-by-step explanation:

\blue{(5x - 3y)(3x + 4y)} \\ \blue{5x(3x + 4y) - 3y(3x + 4y)} \\ \blue{15 {x}^{2}  + 20xy - 9xy - 12 {y}^{2} } \\ \pink{=  15 {x}^{2}  + 11xy - 12 {y}^{2} }

ycow [4]3 years ago
5 0

Answer:

<h2>15 {x}^{2}  + 11xy - 12 {y}^{2}</h2>

Solution,

( 5x - 3y) ( 3x +4y)

Multiply each terms in the first parentheses by each term in the second paranthesis.

5x * 3x + 5x * 4y - 3y * 3x - 3y * 4y

Calculate the product

15x^2 + 20xy -9xy -12y^2

Collect like terms and simplify

15x^2 + 11xy -12y^2

Hope this helps...

Good luck on your assignment...

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Any number to the power of zero equals 1.

A. To make (7^2)^x = 1
The x has to equal zero

B. (7^0) = 1
So in (7^0)^x = 1
(1)^x , x can be any real number

6 0
3 years ago
Which domain restrictions apply to the rational expression?
andre [41]

Both expression have the same denominator: 9x²-1. Thus it must not be 0.

9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.

Restrictions: x in R\{-1/3, 1/3}

Adding those expressions:

E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=

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4 0
4 years ago
The table shows the number of pets houses have in a neighborhood. What is the average number of pets per house (round to the nea
maks197457 [2]

Answer:

the answer is 2.5

Step-by-step explanation:

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4 0
4 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=4%28x%20-%201%29%20%7B%7D%5E%7B2%7D%20%20-%209" id="TexFormula1" title="4(x - 1) {}^{2} - 9"
Aloiza [94]

Step-by-step explanation:

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

4*(x^2-2x+1)-9=4x^2-8x+4-9=4x^2-8x-5

if you have to calculate the Δ

there is it: 4x^2-8x-5=0

Δ=b^2-4*a*c=64-4*4*(-5)=64+80=144

x_{1,2}=-b±Δ/2*a=8±12/8=

x_{1}=8+12/8=20/8|:4=5/2

x_{2}=8-12/8=-4/8|:4=-1/2

4 0
3 years ago
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mr_godi [17]

4 he can make four cuAse u can cut 8/10s into 4)5

4 0
3 years ago
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