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Llana [10]
2 years ago
13

Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy

Mathematics
1 answer:
myrzilka [38]2 years ago
6 0

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

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If you want to check, plug in your answer to the original equation and see if it is true:

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The sum of 2 numbers (x and y) is 20, and their product is 51. What are the values of x and y
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Step-by-step explanation:

The sum of two numbers x&y is 20

Product of the 2numbers xy is 51

X+y=20......equation 1

XY=51.........equation 2

X=20-y.......equation 3

Substitute for x inequation 3 into equation 2

So we have;

(20-y)y=51

Open the bracket

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Collect like terms,so we have

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Factorise

Factors of 51 is 13&7

So -13-7=-20 &-13×-7=51

Substitute

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Substitute for y in equation 1

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