How do you combine #12 - (y^3 + 4)#?

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Answer 1 · 2015-04-29T16:26:39

#12 - (y^3 + 4)#

# = 12 - y^3 - 4#

# = -y^3 + 8 #

# = -(y^3 - 8)#

# = -(y^3 - 2^3)#

We know that #color(blue)(a^3 - b^3 = (a-b)(a^2+ab+b^2)#

# = (y-2)(y^2+2y +2^2)#

# =color(green)( (y-2)(y^2+2y +4)#