What is the standard form of $y = {(- 7 x - 9)}^{3} + {(3 x - 3)}^{2}$ $y= (-7x-9)^3+(3x-3)^2$ ?

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What is the standard form of $y = {(- 7 x - 9)}^{3} + {(3 x - 3)}^{2}$ $y= (-7x-9)^3+(3x-3)^2$ ?

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Answer 1 · 2018-01-26T03:40:37

$y = - 343 x^{3} - 1314 x^{2} - 1719 x - 720$ $y = -343x^3-1314x^2-1719x-720$

Explanation:

Standard form follows the format of $a x^{3} + b x^{2} + c x + d$ $ax^3 + bx^2 +cx +d$ . To get in this form, we need to expand everything we can and then combine like-terms

${(- 7 x - 9)}^{3} + {(3 x - 3)}^{2}$ $(-7x-9)^3 + (3x-3)^2$

$(- 7 x - 9) \times (- 7 x - 9) \times (- 7 x - 9) + (3 x - 3) \times (3 x - 3)$ $(-7x-9) xx (-7x-9) xx (-7x-9) + (3x-3) xx (3x-3)$

$(49 x^{2} + 63 x + 63 x + 81) \times (- 7 x - 9) + (9 x^{2} - 9 x - 9 x + 9)$ $(49x^2+63x+63x+81) xx (-7x-9) + (9x^2-9x-9x+9)$

$(49 x^{2} + 126 x + 81) \times (- 7 x - 9) + 9 x^{2} - 18 x + 9$ $(49x^2+126x+81) xx (-7x-9) + 9x^2-18x+9$

$- 343 x^{3} - 441 x^{2} - 882 x^{2} - 1134 x - 567 x - 729 + 9 x^{2} - 18 x + 9$ $-343x^3-441x^2-882x^2-1134x-567x-729 + 9x^2-18x+9$

combine like-terms

$- 343 x^{3} - 1323 x^{2} - 1701 x - 729 + 9 x^{2} - 18 x + 9$ $-343x^3-1323x^2-1701x -729 + 9x^2 -18x +9$

$- 343 x^{3} - 1314 x^{2} - 1719 x - 720$ $-343x^3-1314x^2-1719x-720$

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What is the standard form of $y = {(- 7 x - 9)}^{3} + {(3 x - 3)}^{2}$ $y= (-7x-9)^3+(3x-3)^2$ ?

1 Answer

Explanation:

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What is the standard form of y=(−7x−9)3+(3x−3)2 y= (-7x-9)^3+(3x-3)^2?

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Explanation:

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What is the standard form of $y = {(- 7 x - 9)}^{3} + {(3 x - 3)}^{2}$ $y= (-7x-9)^3+(3x-3)^2$ ?