Perform the following divisions:
(i) (3pqr - 6p²q²r²) ÷ 3pq
(ii) (ax³ - bx² + cx) ÷ (-dx)
(iii) (x³y³ + x²y³ - xy⁴ + xy) ÷ xy
(iv) (-qrxy + pryz - rxyz) ÷ (-xyz)
Solution:
(i) (3pqr - 6p²q²r²) ÷ 3pq
Given, (3pqr - 6p²q²r²) ÷ 3pq
= (3pqr/ 3pq) - (6p²q²r²/3pq)
= r - 2pqr²
(ii) (ax³ - bx² + cx) ÷ (- dx)
Given, (ax³ - bx² + cx) ÷ (- dx)
= (ax³/(-dx)) - (bx²/(-dx)) + (cx/(-dx))
= -(a/d)x² + (b/d)x - (c/d)
(iii) (x³y³ + x²y³ - xy⁴ + xy) ÷ xy
Given, (x³y³ + x²y³ - xy⁴ + xy) ÷ xy
= (x³y³/xy) + (x²y³/xy) - (xy⁴/xy) + (xy/xy)
= x²y² + xy² - y³ + 1
(iv) (- qrxy + pryz - rxyz) ÷ (- xyz)
Given, (- qrxy + pryz - rxyz) ÷ (- xyz)
= (- qrxy)/(-xyz) + (pryz/(-xyz)) - (rxyz/(-xyz))
= (qr/z) - (pr/x) + r
✦ Try This: Perform the following divisions:
(i) (15x²y²z - 35x²y²z³) ÷ 5xyz, (ii) (- abcd + bcd - cd) ÷ (-abc)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 95
Perform the following divisions: (i) (3pqr - 6p²q²r²) ÷ 3pq, (ii) (ax³ - bx² + cx) ÷ (-dx), (iii) (x³y³ + x²y³ - xy⁴ + xy) ÷ xy, (iv) (-qrxy + pryz - rxyz) ÷ (-xyz)
Summary:
Dividing the following (i) (3pqr - 6p²q²r²) ÷ 3pq, (ii) (ax³ - bx² + cx) ÷ (- dx), (iii) (x³y³ + x²y³ - xy⁴ + xy) ÷ xy and (iv) (- qrxy + pryz - rxyz) ÷ (- xyz) we get, r - 2pqr², -(a/d)x² + (b/d)x - (c/d), x²y² + xy² - y³ + 1 and (qr/z) - (pr/x) + r respectively
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