What is the standard form of $y = (x^{2} - 2) (3 x - 1) + {(5 x + 3)}^{2}$ $y= (x^2-2)(3x-1) + (5x+3)^2$ ?

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What is the standard form of $y = (x^{2} - 2) (3 x - 1) + {(5 x + 3)}^{2}$ $y= (x^2-2)(3x-1) + (5x+3)^2$ ?

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Answer 1 · 2017-05-07T09:19:52

$y = 3 x^{3} + 24 x^{2} + 24 x + 11$ $y=3x^3+24x^2+24x+11$

Explanation:

We begin by multiplying everything out:
$y = (x^{2} - 2) (3 x - 1) + {(5 x + 3)}^{2}$ $y=(x^2-2)(3x-1)+(5x+3)^2$
$y = 3 x^{3} - x^{2} - 6 x + 2 + 25 x^{2} + 30 x + 9$ $y=3x^3-x^2-6x+2+25x^2+30x+9$
Then we simplify:
$y = 3 x^{3} + 24 x^{2} + 24 x + 11$ $y=3x^3+24x^2+24x+11$
which is our final answer.

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What is the standard form of $y = (x^{2} - 2) (3 x - 1) + {(5 x + 3)}^{2}$ $y= (x^2-2)(3x-1) + (5x+3)^2$ ?

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Explanation:

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What is the standard form of $y = (x^{2} - 2) (3 x - 1) + {(5 x + 3)}^{2}$ $y= (x^2-2)(3x-1) + (5x+3)^2$ ?