Mathematics: Write as a product: ax*2+ay*2–bx*2–by*2+b–a

Write as a product: ax*2+ay*2–bx*2–by*2+b–a

Ответ:

liv467

20.01.2022

Mathematics

$ax^2 + ay^2 -bx^2 -by^2 + b - a = \left(x^2+y^2-1\right)\left(a-b\right)$

Solution:

Given that,

ax^2 + ay^2 -bx^2 -by^2 + b - a

We have to write the above expression as product

From given,

ax^2 + ay^2 -bx^2 -by^2 + b - a

$\mathrm{Factor\:out\:common\:term\:}a\\\\a\left(x^2+y^2-1\right)-bx^2-by^2+b\\\\\mathrm{Factor\:out\:common\:term\:}b\\\\a\left(x^2+y^2-1\right)+b\left(-x^2-y^2+1\right)\\\\\mathrm{Rewrite\:as}\\\\\left(x^2+y^2-1\right)a-\left(x^2+y^2-1\right)b\\\\\mathrm{Factor\:out\:common\:term\:}\left(x^2+y^2-1\right)\\\\\left(x^2+y^2-1\right)\left(a-b\right)$

Thus the given expression is written as product

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Ответ:

elkinsmarie88oyzd23

11.04.2023

Mathematics

g(x) = x + 10

Step-by-step explanation:

I. If Shifted left means minus and right means plus on the x coordinate

So shifted right 4 units = +4

f(x) = x + 6 +4

= x + 10

That makes g(x) = x + 10

Hope that help :)

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Write as a product: ax2+ay2–bx2–by2+b–a

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