a3-b3= (a+b) (a2-ab+b2)
Problem 1 :
Expand (2x)3 - y3
(A) (2x-y) (4x²+2xy+y²)
(B) (2x+y) (4x²+2xy+y²)
(C) (x-y) (4x²-xy+y²)
Problem 2 :
Expand x³ - (3y)³
(A) (x+3y) (4x²+3xy-9y²)
(B) (x+3y) (x²-3xy+9y²)
(C) (x-3y) (x²+3xy+9y²)
Problem 3 :
Expand (3x)³ - y³
(A) (3x-y) (9x²+3xy+y²)
(B) (3x-y) (9x²+3xy-y²)
(C) (3x+y) (9x²-3xy-y²)
Problem 4 :
Expand (2S)³ - T³
(A) (2S-T) (4S2+2ST+T²)
(B) (2S+T) (8S2+2ST+T²)
(C) (2S-T) (4S²-2ST+T²)
Problem 5 :
Expand (3N)³ - (2L)³
(A) (3N-2L) (9N²+6NL+4L²)
(B) (3N+2L) (9N²-6NL-4L2)
(C) (3N-2L) (9N²-6NL+4L²)
Problem 6 :
Expand p³-q³
(A) (p-q) (p²-pq-q²)
(B) (p-q) (p²+pq+q²)
(C) (p+q) (p²+pq+q²)
Problem 1 :
Expand (2x)3 - y3
Solution :
Here a = 2x and b = y
(2x)3 - y3 = (2x-y)[(2x)2+2xy+y2]
= (2x-y)(4x2+2xy+y2)
Problem 2 :
Expand x³ - (3y)³
Solution :
here a = x and b = 3 y
x3-(3y)3 = (x-3y)(x2+x(3y)+(3y)2)
= (x-3y)[x2+3xy+(32y2)]
= (x-3y)(x2 + 3 x y + 9y2)
Problem 3 :
Expand (3x)³ - y³
Solution :
here a = 3x and b = y
(3x)3-y3 = (3x-y)(x2+3xy+y2)
= (3x-y)(x2 + 3xy+y2)
Problem 4 :
Expand (2S)³ - T³
Solution :
here a = 2S and b = T
(2S)3 - T3 = (2S-T)[(2S)2+(2S)T+T2]
= (2S-T)(4S2+2ST+T2)
Problem 5 :
Expand (3N)³ - (2L)³
Solution :
here a = 3 N and b = 2 L
(3N)3-(2L)3 = (3N-2L)[(3N)2+(3N)(2L)+(2L)2]
= (3N-2L)(9N2+6NL+4L2)
Problem 6 :
Expand p³-q³
Solution :
Here a = p and b = q
P3-q3 = (p-q)(p2+pq+q2)
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