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Question

Divide as directed.

(i)5(2x+1)(3x+5)÷(2x+1)

(ii)26xy(x+5)(y4)÷13x(y4)

(iii)52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)

(iv)20(y+4)(y2+5y+3)÷5(y+4)

(v)x(x+1)(x+2)(x+3)÷x(x+1)

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Solution

(i)5(2x+1)(3x+5)÷(2x+1)

=5(2x+1)(3x+5)(2x+1)

=5(3x+5)1

5(2x+1)(3x+5)÷(2x+1)=5(3x+5)

(ii)26xy(x+5)(y4)÷13x(y4)

=26xy(x+5)(y4)13x(y4)

=2y(x+5)(y4)(y4)

=2y(x+5)1

(x+5)(y4)÷13x(y4)=2y(x+5)

(iii)52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)

=52pqr(p+q)(q+r)(r+p)104pq(q+r)(r+p)

=pqr(p+q)(q+r)(r+p)pq(q+r)(r+p)

=r(p+q)(q+r)(r+p)(q+r)(r+p)

=r(p+q)(r+p)(r+p)

=r(p+q)1

52pqr(p+q)(q+r)(r+p)÷104pq(q+r)(r+p)=r(p+q)

(iv)20(y+4)(y2+5y+3)÷5(y+4)

=20(y+4)(y2+5y+3)5(y+4)

=4(y+4)(y2+5y+3)(y+4)

=4(y2+5y+3)1

20(y+4)(y2+5y+3)÷5(y+4)=4(y2+5y+3)

(v)x(x+1)(x+2)(x+3)÷x(x+1)

=x(x+1)(x+2)(x+3)x(x+1)

=(x+1)(x+2)(x+3)(x+1)

=(x+2)(x+3)1

x(x+1)(x+2)(x+3)÷x(x+1)=(x+2)(x+3)


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