a) 5x^2 + 5xy - x - y
=5x.(x+y)-(x+y)
=(x+y)(5x-1)
b) 7x - 6x^2 - 2
=-6x2+3x+4x-2
=-3x.(2x-1)+2.(2x-1)
=(2x-1)(2-3x)
(x−5)2−16
=(x−5)2−42
=(x−5+4)(x−5−4)
=(x−1)(x−9)
25−(3−x)2
=52−(3−x)2
=(5−3+x)(5+3−x)
=(x+2)(8−x)
(7x−4)2−(2x+1)2
=(7x−4+2x+1)(7x−4−2x−1)
=(9x−3)(5x−5)
=15(3x−1)(x−1)
a. 5x2+5xy-x-y
= 5x(x+y)-(x+y)
= (x+y)(5x+1)
b. 7x-6x2-2
= -6x2+7x-2
= -6x2+3x+4x-2
= -3x(2x-1)+2(2x-1)
= (2x-1)(-3x+2)