What is the standard form of $y = 2 x (3 - x) (6 - x)$ $y=2x(3-x)(6-x)$ ?

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What is the standard form of $y = 2 x (3 - x) (6 - x)$ $y=2x(3-x)(6-x)$ ?

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Answer 1 · 2016-01-31T14:02:17

$y = 2 x (3 - x) (6 - x)$ $y=2x(3-x)(6-x)$

First solve $(3 - x) (6 - x)$ $(3-x)(6-x)$ using foil method:

Foil method:

So,
$(3 - x) (6 - x) = 18 - 3 x - 6 + x^{2} = (18 - 9 x + x^{2}) = (x^{2} - 9 x + 18)$ $(3-x)(6-x)=18-3x-6+x^2=(18-9x+x^2)=(x^2-9x+18)$ In standard notation.

$\to y = 2 x (x^{2} - 9 x + 18)$ $rarry=2x(x^2-9x+18)$

Use distributive property to multiply:

$\to y = 2 x^{3} - 18 x^{2} + 36 x$ $rarry=2x^3-18x^2+36x$

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What is the standard form of $y = 2 x (3 - x) (6 - x)$ $y=2x(3-x)(6-x)$ ?

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What is the standard form of $y = 2 x (3 - x) (6 - x)$ $y=2x(3-x)(6-x)$ ?