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Popular >

simplify (x-2)^2+(y-4)^2-16

Solution

simplify

(x - 2)^{2} + (y - 4)^{2} - 16

Solution

x^{2} - 4 x + y^{2} - 8 y + 4

Solution steps

(x - 2)^{2} + (y - 4)^{2} - 16

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 + (y - 4)^{2} - 16

Expand

(y - 4)^{2} : y^{2} - 8 y + 16

= x^{2} - 4 x + 4 + y^{2} - 8 y + 16 - 16

Group like terms

= x^{2} - 4 x + y^{2} - 8 y + 4 + 16 - 16

Add the numbers:

4 + 16 - 16 = 4

= x^{2} - 4 x + y^{2} - 8 y + 4

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Frequently Asked Questions (FAQ)

What is (x-2)^2+(y-4)^2-16 ?
The solution to (x-2)^2+(y-4)^2-16 is x^2-4x+y^2-8y+4