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astra-53 [7]
3 years ago
11

X^3y-xy^3factorize the expression​

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

xy(x + y)(x - y)

Step-by-step explanation:

{x}^{3}y  -  x{y}^{3}

Taking xy common ,

=  > xy( {x}^{2}  -  {y}^{2} )

We know that

{a}^{2} - {b}^{2} = (a + b)(a - b)

So,

=  > xy(x + y)(x - y)

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Alex claims that the product of x^2 and x^4+x^2-1 will be x^8+x^4-x^2. explain the error made by alex
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

the product is a result of multiplication....so lets multiply

x^2 (x^4 + x^2 - 1) =

x^6 + x^4 - x^2

ok...his mistakes are occurring because he is multiplying the exponents when he is supposed to be adding them.

exponent rule : x^a * x^b = x^(a + b)

5 0
3 years ago
To Rationalize the denominator of 5-√7/9-√14, you should multiply the expression by which fractions?
beks73 [17]

<u>Answer</u>

9+√14


<u>Explanation</u>

To Rationalize the denominator of 5-√7/9-√14.

To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 9-√14 and its conjugate is (9+√14).

(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)

                        =  (5-√7)(9+√14)/(9²-14)

                       = (45 + 5√14 - 9√7 - √98)/(81-14)

                        =  (45 + 5√14 - 9√7 - √98)/67

                        = (45 + 5√14 - 9√7 - 7√2)67

This is the rationalized expression.  

The denominator is (9-√14) and its conjugate is (9+√14).

8 0
4 years ago
Read 2 more answers
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It would be:

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lord [1]

The area of the rectangle would be 375

7 0
3 years ago
Write a linear function f with f(0) = 7 and f(3) =1.
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(0,7) and (3,1) are points on the line.

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (0, 7) and (3, 1) = (1-7)/(3-0) = -2
4 0
3 years ago
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