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2 years ago

Write xy^2-by^2-ax+ab+y^2-a as a product

Mathematics

1 answer:

Eddi Din [679]2 years ago

6 0

Answer: (y^2-a)(1+x-b)

Step-by-step explanation:

Factor out the common terms: =x(y^2-a)-by^2+ab+y^2-a

Then rewrite as: =(y^2-a)x-by^2+ab+1 x (y^2-a)

Factor out the common term (y^2 - a): =(y^2-a)(x+1)-by^2+ab

Factor out the common term b: =(y^2-a)(1+x)+b(-y^2+a)

Rewrite as: =(y^2-a)(1+x)-(y^2-a)b

Factor out the common term (y^2 - a): =(y^2-a)(1+x-b)

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3 years ago

Simplify cos^2 A/1+sin A

Stels [109]

Answer:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

Step-by-step explanation:

We want to simplify:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}$

Recall the Pythagorean Identity:

$\sin^2(A)+\cos^2(A)=1$

So:

$\cos^2(A)=1-\sin^2(A)$

Substitute:

$\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}$

Factor. We can use the difference of two squares pattern:

$\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}$

Cancel. Hence:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

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2 years ago

Is there a even number and a odd number than mutiplys a odd number if so list 3 examples

s344n2d4d5 [400]

Answer:

Even

Step-by-step explanation:

Well if you have an odd number like 3, 5, 7, 9, and etc multiplied by an even number like 2, 4, 6, 8, and etc you will always get an even number

2 x 3 = 6 which is even 3+3

5 x 4 = 20 which is even 10+10

7 x 6 = 42 which is even 21+21

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3 years ago