class 8 maths chapter 14 exercise 14.3
class 8 maths chapter 14 exercise 14.3 (1)
1 Carry out the following divisions :
(iii) 66pq²r³ ÷ 11qr² (iv) 34x³y³z³ ÷ 51xy²z³
Solution to class 8 maths chapter 14 exercise 14.3 (1)
(ii) -36y³ ÷ 9y²
=-4y
(iii) 66pq²r³ ÷ 11qr²
=6pqr
(iv) 34x³y³z³÷51xy²z³
class 8 maths chapter 14 exercise 14.3 (2)
(i) (5x² – 6x) ÷ 3x
(iii) 8(x³y²z²+x²y³z²+x²y²z³) ÷ 4x²y²z²
(iv) (x³+2x²+3x)÷2x
Solution to class 8 maths chapter 14 exercise 14.3 (2)
(i) (5x² – 6x) ÷ 3x
(iii) 8(x³y²z²+x²y³z²+x²y²z³) ÷ 4x²y²z²
=2x+2y+2z
=2(x+y+z)
(iv) (x³+2x²+3x) ÷ 2x
class 8 maths chapter 14 exercise 14.3 (3)
3 Work out the following divisions :
(i) (10x – 25) ÷ 5 (ii) (10x – 25) ÷ (2x – 5)
(iii) 10y(6y+21) ÷ 5(2y+7) (iv) 9x²y²(3z – 24) ÷ 27xy(z – 8)
(v) 96abc(3a – 12)(5b – 30) ÷ 144(a – 4)(b – 6)
Solution to class 8 maths chapter 14 exercise 14.3 (3)
(i) (10x – 25) ÷ 5
=2x – 5
(ii) (10x – 25) ÷ (2x – 5)
=5
(iii) 10y(6y+21) ÷ 5(2y+7)
=2×y×3=6y
(iv) 9x²y²(3z – 24) ÷ 27xy(z – 8)
=xy
(v) 96abc(3a – 12)(5b – 30) ÷ 144(a – 4)(b – 6)
=10abc
class 8 maths chapter 14 exercise 14.3 (4)
4 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)(y²+5y+3) ÷ 5(y+4)
(v) x(x+1)(x+2)(x+3) ÷ x(x+1)
Solution to class 8 maths chapter 14 exercise 14.3 (4)
(i) 5(2x+1)(3x+5) ÷ (2x+1)
=5(3x+5)
(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)
(iv) 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+2)(x+3)
class 8 maths chapter 14 exercise 14.3 (5)
5 Factorize the expressions and divide them as directed :
(i) (y²+7y+10) ÷ (y+5)
(ii) (m² – 14m – 32) ÷ (m+2)
(iii) (5p² – 25p+20)÷(p – 1)
(iv) 4yz(z²+6z – 16)÷2y(z+8)
(v) 5pq(p² – q²) ÷ 2p(p+q)
(vi) 12xy(9x² – 16y²) ÷ 4xy(3x+4y)
(vii) 39y³(50y² – 98) ÷ 26y²(5y+7)
Solution to class 8 maths chapter 14 exercise 14.3 (5)
(i) (y²+7y+10) ÷ (y+5)
=y+2
(ii) (m² – 14m – 32) ÷ (m+2)
=m+2
(iii) (5p² – 25p+20)÷(p – 1)
=5(p – 4)
(iv) 4yz(z²+6z – 16)÷2y(z+8)
=2z(z – 2)
(v) 5pq(p² – q²) ÷ 2p(p+q)
(vi) 12xy(9x² – 16y²) ÷ 4xy(3x+4y)
=3(3x – 4y)
(vii) 39y³(50y² – 98) ÷ 26y²(5y+7)
=3y(5y – 7)