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Expand the expression $15a\left(a+1\right)^3-5a\left(\left(\left(a+1\right)^2\right)^3\right)^2$

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Tutorial - Condensing logarithmic expressions ex 12, 1/3(2ln(x+3)+lnx-ln(x^2-1))

https://www.youtube.com/watch?v=l8AE8UzknbY

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

https://www.youtube.com/watch?v=doNh13E4XBo

Algebra 2 - Learn how to simplify an equation with rational powers 3(x+1)^(2/3) = 12

https://www.youtube.com/watch?v=wMi-XLCvvik

Algebra 2 - Simplifying an expression with rational and negative exponents (x^(1/6) y^(1/3))^-18

https://www.youtube.com/watch?v=42cGdWlTRvc

Algebra 2 - Learn how to expand a logarithmic expression with a square root

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Algebra 2 - Learning how to expand a logarithmic expression with a square root, log2 (root(4x))

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Derivative

$\frac{d}{da}\left(15a\left(a+1\right)^3-5a\left(\left(\left(a+1\right)^2\right)^3\right)^2\right)=15\left(\left(a+1\right)^3+3a\left(a+1\right)^{2}\right)-5\left(\left(a+1\right)^{12}+12a\left(a+1\right)^{11}\right)$ See full solution

Integral

$\int\left(15a\left(a+1\right)^3-5a\left(\left(\left(a+1\right)^2\right)^3\right)^2\right)da=-\frac{15}{4}\left(a+1\right)^{4}+3\left(a+1\right)^{5}+\frac{5}{13}\left(a+1\right)^{13}-\frac{5}{14}\left(a+1\right)^{14}+C_0$ See full solution

Main Topic: Quotient Rule of Differentiation

The quotient rule is a formal rule for differentiating problems where one function is divided by another.

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