Question

Divide as directed.
(i) $5(2x+1)(3x+5)÷(2x+1)$
(ii) $26xy(x+5)(y-4)÷13x(y-4)$
(iii) $52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)$
(iv) $20(y+4)(y^2+5y+3)÷5y(y+4)$
(v) $x(x+1)(x+2)(x+3)÷x(x+1)$

Answer 1

(i) $5(2x+1)(3x+5)÷(2x+1)=5(3x+1)$

(ii) $26xy(x+5)(y-4)÷13x(y-4)=2y(x+5)$

(iii) $52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)=\frac{1}{2}r(p+q)$

(iv) $20(y+4)(y^2+5y+3)÷5y(y+4)=4(y^2+5y+3)$

(v) $x(x+1)(x+2)(x+3)÷x(x+1)=(x+2)(x+3)$