Question

simplify the following binomials by using the identity (3b-1)(3b-7)

Answer 1

 Factoring Algebraic
(i) (3x - 4y),(3x + 4y) Expressions
By using the identity,
(a + b)(a - b) = a2 - b2 Source & Credit: Mark Schumacker
(3x + 4y) (3x - 4y) = (3x)2 - (4y)2
= 9x2 - 16y2
(ii) (7a - 9b), (7a + 9b)
By using the identity,
(a + b)(a - b) = a2 - b2
(7a + 9b) (7a - 9b) = (7a)2 - (9b)2
= 49a2 - 81b2
(iii) (6x2y2 + 8a2b2), (6x2y2 - 8a2b2)
By using the identity,
(a + b)(a - b) = a2 - b2
(6x2y2 + 8a2b2) (6x2y2 - 8a2b2) = (6x2y2)2 - (8a2b2)2
= 36x4y4 - 64a4b4