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Expand the expression $2\left(x-3\right)^3-2x\left(x-6\right)\left(x-3\right)$

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Solution

Videos

Special products of the form (x+a)(x-a) | Algebra I | High School Math | Khan Academy

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

Polynomial special products: difference of squares | Algebra 2 | Khan Academy

https://www.youtube.com/watch?v=uNweU6I4Icw

Algebra 2 - Dividing two rational expressions by factoring, ((x + y)/6) / ((x^2 - y^2)/3)

https://www.youtube.com/watch?v=mAn_OHWNj2c

Tutorial How to find the difference between two rational expressions, ((x-2)/(x^2 -8x+12))-(3/(x-2))

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

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

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

Tutorial - Simplify Expressions Dividing simplify numerator, (3 x 2 + 4)/2

https://www.youtube.com/watch?v=5JklSCAtMrk

Derivative

$\frac{d}{dx}\left(2\left(x-3\right)^3-2x\left(x-6\right)\left(x-3\right)\right)=6\left(x-3\right)^{2}-2\left(\left(x-6\right)\left(x-3\right)+x\left(x-3+x-6\right)\right)$ See full solution

Integral

$\int\left(2\left(x-3\right)^3-2x\left(x-6\right)\left(x-3\right)\right)dx=\frac{1}{2}\left(x-3\right)^{4}-\frac{1}{2}x^{4}+6x^{3}-18x^2+C_0$ See full solution

Similar Problems Solved

$\left(2a+5\right)\left(2a-5\right)$

$\left(x-2\right)\left(x+2\right)$

$\left(a+3b\right)\left(a-3b\right)$

$\left(x+1\right)\left(x-1\right)$

$\left(d+3\cdot e\right)\left(d-3\cdot e\right)$

$\left(x+2\right)\left(x-2\right)$

$\left(x+5\right)\left(x-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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