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

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Answer 1 · 2018-01-26T03:40:37

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

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

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

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

$(49x^2+63x+63x+81) xx (-7x-9) + (9x^2-9x-9x+9)$

$(49x^2+126x+81) xx (-7x-9) + 9x^2-18x+9$

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

combine like-terms

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

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

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