# NCERT Solution For Class 8 Math Chapter – 9 Algebraic Expression Exercise – 9.3

### Q1. Carry out the multiplication of the expression in each of the following pairs.

• 4p , q + r
• Ab , a – b
• A + b , 7a2b2
• A2 – 9, 4a
• Pq + qr + rp , 0

### Solution:-

• 4p (q + r) = 4pq + 4pr
• ab(a – b) = a2b – ab2
• (a + b)(7a2b2) = 7a3b2 + 7a2b3
• (a2 – 9)(4a) = 4a3 – 36a
• (pq + qr + rp) x 0 = 0 (Anything multiplied by zero is zero)

### Q2. Complete the table.

Solution:-

 First expression Second Expression Product (i) a B + c +d A( b + c + d) = a x b + a x c + a x d = ab + ac + ad (ii) X + y – 5 5xy 5xy ( x + y -5) = 5xy x x + 5xy x y – 5xy x 5 = 5x2y + 5xy2 – 25xy (iii) p 6p2 – 7p + 5 P(6p2 -7p + 5) = 6p3 – 7p2 + 5p (iv) 4p2q2 P2 – q2 4p4q2 – 4p2 q4 (v) A + b + c abc A2bc + ab2c + abc2

### Q3. Find the product.

• A2 x (2a22) x (4a26)
• (2/3 xy) x (-9/10 x2y2)
• (-10/3 pq3/) x (6/5p3q)
• (x) x (x)2 x (x)3 x (x)4

### Solution:-

• A2 x (2a22) x (4a26) = ( 2 x 4) (a2 x a22 x a26) = 8 x a2 + 22 + 26 = 8a50
• (2/3 x -9/10) ( x x x2 x y x y2)

= (-3/5 x3y3)

• = (-10/3 x 6/5) (p x p3 x q3 x q )

= (-4p4q4)

• = x1 + 2 + 3 + 4

x10

### Solution:-

• 3x(4x – 5) + 3

= 3x (4x) – 3x(5) + 3

= 12x2 – 154x + 3

• Putting x = 3 in the equation we gets

2x2 – 15x + 3 = 12(32) – 15(3) + 3

= 108 – 45 + 6 = 66

• Putting x = 1/2 in the equation we get

12x  – 15x + 3 = 12(1/2)2 – 15(1/2) + 3

= -3/2

• A(a2 + a + 1) + 5

= a3 + a2 + a + 5

• Putting a = 0 in the equation we get 03 + 02 + 0 + 5 = 5

• Putting a = 1 in the equation we get

13 + 12 + 1 + 5 = 1 + 1 + 1 + 5 = 8

• Putting a = -1 in the equation we get

(-1)3 + (-1)2 + (-1) + 5 = -1 + 1 – 1 + 5 = 4

### Solution:-

1. P(p – q) + q(q-r) + r(r-p)

= (p2 – pq) + (q2 – qr) + (r2 –  pr)

= p2 + q2 + r2 – pq – qr – pr

b)

=  2xz – 4xy + 2yz – 2x2 – 2y2

c)

= (40ln – 121lm + 8l2) – (3l2 – 121lm + 15ln)

= 25ln + 5l2

D)

= (-4ac + 4bc + 4c2) – (3a2 + 3ab + 3ac – (2ab – 2b2 + 2bc ))

= -7ac + 6bc + 4c2 – 3a2 – ab – 2b2

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NCERT Solution For Class 8 Math Chapter – 9 Algebraic Expression Exercise – 9.3 Q1. Carry out the multiplication of the…