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Lyrx [107]
2 years ago
13

FACTOR COMPLETELY x^2-7x+7y-y^2

Mathematics
1 answer:
shtirl [24]2 years ago
6 0

Given: {x}^{2} - 7x + 7y -  {y}^{2}

Now factoring them,

=  > (x - y)(x + y) - 7(x - y)

=  > (x - y)(x + y - 7)

Therefore, the answer to the question is (x - y)(x + y - 7)

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3x^2 + 5x + 1

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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

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3 years ago
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Answer:

43.5 cm²

Step-by-step explanation:

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= 43.50277378 cm²

7 0
3 years ago
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