Expansion
Expand and simplify (x + 3)(x - 3)
x2 - 9
Factorise x2 - 36
(x+6)(x-6)
Simplify: 5a2×4a3
20a5
Expand (2x + 3)2.
4x2 + 12x + 9
Factorise x2 + 8x + 16
(x+4)2
If (2x)2=256, find the value of x.
4x2 = 256
=> x2 = 64
=> x = 8 or -8
Expand (4x-3y)2
16x2−24xy+9y2
Factorize: y²+4y−21
(y+7)(y-3)
If 3×3n=9×30×27×274
Find the value of n.
n = 16
If a - b = 3 and a2 + b2 = 29, find the value of ab.
ab = 10
Factorize: 4z²−12z+9
(2z-3)2
If 2n=4p×8n
write down an expression for n in terms of p.
2n=4p×8n
2n=22p×23n
=> n = 2p + 3n
=> 2n = -2p
=> n = -p
If 2x + 3y = 13 and xy = 6, then find the value of
8x3 + 27y3
Use cubic formula (a + b)3 = a3 + b3 + 3ab(a+b)
8x3 + 27y3 = 793
The product of two consecutive positive integers is 19 more than their sum. Find the integers.
x * (x+1) = x + (x+1) + 19
=> x2 + x = 2x + 20
=> x2 - x - 20 = 0
x = 5
x+1 = 6
Without using a calculator, show clearly that 729(2/3)
is equal to 34.
729(2/3) = (93)(2/3) = 93*2/3 = 92 = 81 = 34