[squaring binomials][section 38]
(1.) (a + 3)2 here is the problem
= (a + 3)(a + 3) write it out
= a2 + 3a + 3a + 9 foil multiply
= a2 + 6a + 9 combine like terms
result: a2 + 6a + 9
(2.) (x - 2)2 here is the problem
= (x - 2)(x - 2) write it out
= x2 - 2x - 2x + 4 foil multiply
= x2 - 4x + 4 combine like terms
result: x2 - 4x = 4
(3.) (2a + 1)2 here is the problem
= (2a + 1)(2a + 1) write it out
= 4a2 + 2a + 2a + 1 foil multiply
= 4a2 + 4a + 1 combine like terms
result: 4a2 + 4a + 1
(4.) (4a - 1)2 here is the problem
= (4a - 1)(4a - 1) write it out
= 16a2 - 4a - 4a + 1 foil multiply
= 16a2 - 8a + 1 combine like terms
result: 16a2 - 8a + 1
(5.) (3x - y)2 here is the problem
= (3x - y)(3x - y) write it out
= 9x2 - 3xy - 3xy + y2 foil multiply
= 9x2 - 6xy + y2 combine like terms
result: 9x2 - 6xy + y2
(6.) (2x + y)2 here is the problem
= 4x2 + 4xy + y2 square the binomial
result: 4x2 + 4xy + y2
(7.) (5c + 3d)2 here is the problem
= 25c2 + 30cd + 9d2 square the binomial
result: 25c2 + 30cd + 9d2
(8.) (2a2 + 3)2 here is the problem
= 4a4 + 12a2 +
9 square the binomial
result: 4a4 + 12a2
+ 9
(9.) (2x - 3y)2 here is the problem
= 4x2 - 12xy + 9y2 square the binomial
result: 4x2 - 12xy + 9y2
(10.) (11a2 + c2)2
here is the problem
= 121a4 + 22a2c2
+ c4 square the binomial
result: 121a4 + 22a2c2 + c4