SPECIAL PRODUCTS
1. Product of Two Similar Binomials
(x + a) (x + b) = x2 + (a + b) x + ab
(ax + b) (cx + d) = acx2 + (bc + ad) x + bd
2. Product of the Sum and Difference of Two Numbers
3. Square of a Binomial
(x + y)2 = x2 + 2xy + y2
(x + y)2 = x2 + 2xy + y2
4. Square of a Trinomial
5. Square of a Polynomial
6. Cube of a Binomial
(x + y)3 = x3 + 3x2y + 3xy2 + y3
(x – y)3 = x3 – 3x2y + 3xy2 – y3
7. Other Products:
(x + y)4 = x4 + 4x3y + 6x2y2 + 4xy3 + y4
(x – y)4 = x4 – 4x3y + 6x2y2 – 4xy3 + y4
(x + y)5 = x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5
(x – y)5 = x5 – 5x4y + 10x3y2 – 10x2y3 + 5xy4 – y5
(x + y)6 = x6 + 6x5y + 15x4y2 + 20x3y3 + 15x2y4 + 6xy5 + y6
(x – y)6 = x6 – 6x5y + 15x4y2 – 20x3y3 + 15x2y4 – 6xy5 + y6
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