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

Question

1726 views around the world

You can reuse this answer
Creative Commons License

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#