[products of binomials][section 37]
(1.) (y - 5)(y + 1) here is the problem
= y2 + y - 5y - 5 foil multiply
= y2 - 4y - 5 combine like terms
result: y2 - 4y - 5
(2.) (p + 9)(p + 11) here is the problem
= p2 + 11p + 9p + 99 foil multiply
= p2 + 20p + 99 combine like terms
result: p2 + 20p + 99
(3.) (m + n)(m - n) here is the problem
= m2 - mn + mn - n2
foil multiply
= m2 - n2 combine like terms
result: m2 - n2
(4.) (m - n)(p - q) here is the problem
= mp - mq - np - nq foil multiply
result: mp - mq - np - nq
(5.) (3x - 2y)(3x + 2y) here is the problem
= 9x2 + 6xy - 6xy - 4y2 foil multiply
= 9x2 - 4y2 combine like terms
result: 9x2 - 4y2
(6.) (m + 7)(m - 11) here is the problem
= m2 - 11m + 7m - 77 foil multiply
= m2 - 4m - 77 combine like terms
result: m2 - 4m - 77
(7.) (y2 + 3)(y2 +
3) here is the problem
= y4 + 3y2 + 3y2
+ 9 foil multiply
= y4 + 6y2 +
9 combine like terms
result: y4 + 6y2 +
9
(8.) (5x + 3)(x + 1) here is the problem
= 5x2 + 5x + 3x + 3 foil multiply
= 5x2 + 8x + 3 combine like terms
result: 5x2 + 8x + 3
(9.) (10p + 3)(6p - 1) here is the problem
= 60p2 - 10p + 18p - 3 foil multiply
= 60p2 + 8p - 3 combine like terms
result: 60p2 + 8p - 3
(10.) (2x + 5)(3x + 1) here is the problem
= 6x2 + 2x + 15x + 5 foil multiply
= 6x2 + 17x + 5 combine like terms
result: 6x2 + 17x + 5