Question

Factorise the expression and divide as directed (2y^2 -14y+ 24) ÷(2y-8)

Answer 1

Answer:

y-3

Step-by-step explanation:

2y^2-6y-8y+24 = 2y(y-3)-8(y-3) = (2y-8)(y-3)

so (2y^2 -14y+ 24) = (2y-8)(y-3)

then (2y^2 -14y+ 24)/(2y-8) =(2y-8)(y-3)/(2y-8)

                                             

(2y^2 -14y+ 24) ÷(2y-8) = y-3

HOPE IT IS HELPFUL

Answer 2

Answer:

$y - 3$

Step-by-step explanation:

$\frac{ {2y}^{2} - 14y + 24}{2y - 8} \\ = \frac{ {2y}^{2} - 6y - 8y + 24 }{2y - 8} \\ = \frac{2y(y - 3) - 8(y - 3)}{2y - 8} \\ = \frac{(2y - 8)(y - 3)}{2y - 8} \: \: by \: cutting \: out \: common \: we \: get \\ y - 3 \: \: \: \: ans$