What is the standard form of $y = 3 x (x + \frac{1}{3}) + 2 {(x - \frac{4}{5})}^{2}$ $y= 3x(x+1/3)+2(x-4/5)^2$ ?

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What is the standard form of $y = 3 x (x + \frac{1}{3}) + 2 {(x - \frac{4}{5})}^{2}$ $y= 3x(x+1/3)+2(x-4/5)^2$ ?

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Answer 1 · 2018-02-08T15:29:24

$y = 5 x^{2} - \frac{11}{5} x + \frac{32}{25}$ $y=5x^2-11/5x+32/25$

Explanation:

$the standard form of a quadratic equation is$ $"the standard form of a quadratic equation is"$

$∙ x y = a x^{2} + b x + c x; a \neq 0$ $•color(white)(x)y=ax^2+bx+c color(white)(x);a!=0$

$to obtain this form expand both brackets and collect like$ $"to obtain this form expand both brackets and collect like"$
$terms$ $"terms"$

$y = 3 x^{2} + x + 2 (x^{2} - \frac{8}{5} x + \frac{16}{25})$ $y=3x^2+x+2(x^2-8/5x+16/25)$

$y = 3 x^{2} + x + 2 x^{2} - \frac{16}{5} x + \frac{32}{25}$ $color(white)(y)=3x^2+x+2x^2-16/5x+32/25$

$y = 5 x^{2} - \frac{11}{5} x + \frac{32}{25} \leftarrow in standard form$ $color(white)(y)=5x^2-11/5x+32/25larrcolor(red)"in standard form"$

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What is the standard form of $y = 3 x (x + \frac{1}{3}) + 2 {(x - \frac{4}{5})}^{2}$ $y= 3x(x+1/3)+2(x-4/5)^2$ ?

1 Answer

Explanation:

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What is the standard form of y= 3x(x+1/3)+2(x-4/5)^2 y=3x(x+13)+2(x−45)2 y= 3x(x+1/3)+2(x-4/5)^2 ?

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What is the standard form of $y = 3 x (x + \frac{1}{3}) + 2 {(x - \frac{4}{5})}^{2}$ $y= 3x(x+1/3)+2(x-4/5)^2$ ?