How do you factor #27x^3+8y^3#?
3 Answers
May 15, 2018
Explanation:
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May 15, 2018
Explanation:
Apply the rule
May 15, 2018
Explanation:
#"this is a "color(blue)"sum of cubes"#
#"which factors in general as"#
#•color(white)(x)a^3+b^3=(a+b)(a^2-ab+b^2)#
#27x^3=(3x)^3rArra=3x#
#8y^3=(2y)^3rArrb=2y#
#rArr27x^3+8y^3=(3x+2y)((3x)^2-(3x xx2y)+(2y)^2)#
#color(white)(xxxxxxxxxx)=(3x+2y)(9x^2-6xy+4y^2)#