Question

4. Divide as directed.
(i) 5(2x + 1) (3x + 5) = (2x + 1)
(ii) 26xy(x + 5)(y – 4) = 13x(y - 4)
(ii) 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)

​

Answer 1

Step-by-step explanation:

Given Divide as directed.

(i) 5(2x + 1) (3x + 5) / (2x + 1)

(ii) 26xy(x + 5)(y – 4) / 13x(y - 4)

(ii) 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)  

• Given We need to divide the given expression.
• 1. 5(2x + 1) (3x + 5) / (2x + 1) After cancelling (2x + 1)
• So we get 5 (3x + 5)
• 2. 26xy (x + 5) (y – 4) / 13x(y – 4)
• So we get 2y (x + 5) (since 13 x 2 = 26 and (y – 4) gets cancelled.
• 3. 52pqr (p + q)(q + r)(r + p) / 104pq(q + r)(r + p)
• So we get r/2 (p + q) (since 52 x 2 = 104 and (q + r) (r + p) gets cancelled.
• 4. 20(y + 4)(y^2 + 5y + 3) / 5y(y + 4)
• So we get 4/y (y^2 + 5y + 3) (since 5 x 4 = 20 and (y + 4) gets cancelled.
• 5. x(x + 1)(x + 2)(x + 3) / x(x + 1)
• So we get (x + 2)(x + 3) (since x(x + 1) gets cancelled)

Reference link will be

https://brainly.in/question/35893994

https://brainly.in/question/35915198