Factories the following
Answers
Answer:
1) (x^2-16) = (x^2-4^2)= (x+4)(x-4)
2) (25t^2-9) = [(5t)^2-3^2] = (5t+3)(5t-3)
3) 50u^2-32v^2 = 2(25u^2-16v^2) = 2[(5u)^2-(4v)^2]
= 2(5u+3v)(5u-3v)
4) 1/9 a^2-16b^2 = (a/3)^2-(4b)^2 = [(a/3 + 4b)(a/3 - 4b)]
5) 27x^3 - 3x = 3x(9x^2 - 1) = (3x)(3x+1)(3x-1)
6) m^6 - 9t^2 = [(m^3)^2 - (3t)^2] = (m^3+3t)(m^3-3t)
7) 16-x^4 = [(4)^2 - (x^2)^2] = [(4+x^2)(4-x^2)]
=[(4+x^2)(2+x)(2-x)]
8)56(xy)^2 - 14x^2 = 14x^2 (4y^2 - 1) = 14x^2(2y+1)(2y-1)
9)x^2/9 - y^2/16 = (x/3)^2 - (y/4)^2
= (x/3 + y/4)(x/3 - y/4)
10) (x+2y)^2 - (x-2y)^2 = [(x+2y+x-2y)(x+2y-x+2y)]
= (2x)(4y) = 8xy
11) (4x^2-4x+1)-9y^2 = (2x-1)^2 - (3y)^2
= (2x-1+3y)(2x-1-3y)
12) 4x^2-4y^2+16z^2-16xz = 4 (x^2-y^2+4z^2-4xz)
= 4 [(4z^2-4xz+x^2) - y^2]
= 4 [(2z-x)^2 - y^2]
= 4 (2z-x+y)(2z-x-y)
hope it helps you
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