Which polynomial has the incorrect factored result 5xy15x6y1
Which polynomial has the incorrect factored result.
5xy-15x-6y+18 = 5x(y-3) – 6(y+3)
6a2+9ab2+6ab+9b3 = 3a(2a+3b2) + 3b(2a+3b2)
30x-15 = 15(2x-15)
Solution
i) 5xy-15x-6y+18 = 5x(y-3) – 6(y+3)
LHS = 5xy-15x-6y+185x(y -3) -6(y-3)
So, incorrect factorisation
ii) 6a^2+9ab^2+6ab+9b^3 = 3a(2a+3b2) + 3b(2a+3b2)
LHS 6a^2+9ab^2+6ab+9b^3 = 3a(2a +3b^2) + 3b(2a +3b^2)
Correct factorisation
iii) 30x-15 = 15(2x-15)
30x-15 = 15(2x -1)
So, incorrect factorisation
