Mathematics: What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?

What is the simplified expression for Negative

Ответ:

plum65

29.01.2022

Mathematics

a^2-ab+3ab^2-2b^2

Step-by-step explanation:

-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)

Open parenthesis

-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab

Add

-2a^2b+2a^2b=0

We have

a^2-5ab+3ab^2-2b^2+4ab

Add

-5ab+4ab=-ab

We have

a^2-ab+3ab^2-2b^2

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Ответ:

DiamondW1258

12.05.2020

Mathematics

$\frac{1-4\sqrt{6}}{5}$

Step-by-step explanation:

$\frac{\sqrt{6}-5}{\sqrt{6}-1}$

In order to rationalize the denominator, you must multiply the top and bottom by the bottom's conjugate. The conjugate of $\sqrt{6}-1$ is $\sqrt{6}+1$ . The reason we do this is because when you multiply conjugates, all you have to do is multiply first terms and last terms (of the foil method).