Mathematics: What is the product (-6a^3b+2ab^2)(5a^2-2ab^2-b)

What is the product (-6a^3b+2ab^2)(5a^2-2ab^2-b) - id632252222526878, alexisozl9253

ilovecatsomuchlolol

03.01.2022

-30a^5*b+12a^4b^2+6a^3b^2+10a^3b^2-4a^2b^3-2ab^3

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jjxt126

03.01.2022

-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3 is the product of (-6a^3b+2ab^2)(5a^2-2ab^2-b)

Step-by-step explanation:

Using the exponent rule:

$x^a \cdot x^b = x^{a+b}$

To find the product of:

(-6a^3b+2ab^2)(5a^2-2ab^2-b)

-6a^3b(5a^2-2ab^2-b)+2ab^2(5a^2-2ab^2-b)

Using distributive property and exponent rules: $a \cdot (b+c) = a\cdot b+ a\cdot c$

⇒ -30a^5b+12a^4b^3+6a^3b^2+10a^3b^2-4a^2b^4-2ab^3

Combine like terms;

-30a^5b+12a^4b^3+16a^3b^2-4a^2b^4-2ab^3

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ghjjn

29.11.2021

Inverse Variation is shown through the formula y=k/x
plug in the given values and solve for k: 3=k/5 so k=15

y=15/x

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