[perfect square trinomials][section 43]
(1.) x2 + 6x + 9 here is the problem
= (x + 3)(x + 3) factor
= (x + 3)2 use an exponent
(2.) n2 + 14n + 49 here is the problem
= (n + 7)(n + 7) factor
= (n + 7)2 factor
(3.) x2 - 10x + 25 here is the problem
= (x - 5)(x - 5) factor
= (x - 5)2 use an exponent
(4.) 4x2 + 12xy + 9y2 here is the problem
= (2x + 3y)(2x + 3y) factor
= (2x + 3y)2 use an exponent
(5.) 1 + 8x + 16x2 here is the problem
= (1 + 4x)(1 + 4x) factor
= (1 + 4x)2 use an exponent
(6.) 4x2 - 4x + 1 here is the problem
= (2x - 1)(2x - 1) factor
= (2x -
1)2 use an exponent
(7.) 1 - 6b + 9b2 here is the problem
= (1 - 3b)(1 - 3b) factor
= (1 - 3b)2 use an exponent
(8.) 49a2 - 84a + 36 here is the problem
= (7a - 6)(7a - 6) factor
= (7a -
6)2 use an
exponent
(9.) (a2 + 2ab + b2)
- c2 here is the
problem
= (a + b)2 - c2 factor
= (a + b - c)(a + b + c) factor
(10.) 4 - 20b + 25b2 here is the problem
= (2 - 5b)(2 - 5b) factor
= (2 - 5b)2 use an exponent