What I Can Do
Box the correct expanded form of the following cube of a binomial.
1) (x + y)3
x3 + x²y + xy²+ y³
x3+ 3x2y + 3xy²+ y³
2) (x - y)3
x3 + 3x²y + 3xy²+ y³ x³-3x²y + 3xy2-y³
x³-3x²y - 3xy2-y³
3) (x + 1)3
x3 + 3x² + 3x + 1
x3 + 2x² + 3x + 1
x3 + x² + 3x + 1
4) (2x + y)³
8x3+ 6x2y + 6xy²+ y3 8x3 + 12x2y + 6xy2+ y³
5) (2x-2)3
8x3-24x²+24x - 8
4x³-24x²+24x - 8
8x3+ 18x2y+ 6xy2+ y³
2x³-24x²+24x-8
Answers & Comments
Step-by-step explanation:
1. (x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3
2. (x - y)^3 = x^3 - 3x^2y - 3xy^2 - y^3
3. (x + 1)^3 = x^3 + 3x^2 + 3x + 1
4. (2x + y)^3 = 8x^3 + 12x^2y + 6xy^2 + y^3
5. (2x - 2)^3 = 8x^3 - 24x^2 + 24x - 8