Advertisements
Advertisements
Question
Simplify : ( x - 6 )( x - 4 )( x + 2 )
Advertisements
Solution
Using identity : (x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc
(x - 6)(x - 4)(x + 2)
= x3 + (-6 - 4 + 2)x2 + [-6 × (-4) + (-4) × 2 + 2 × (-6)]x + (-6) × (-4) × 2
= x3 - 8x2 + (24 - 8 - 12)x + 48
= x3 - 8x2 + 4x + 48
APPEARS IN
RELATED QUESTIONS
Simplify : ( x + 6 )( x + 4 )( x - 2 )
Simplify : ( x - 6 )( x - 4 )( x - 2 )
Find : (a + b)(a + b)(a + b)
Prove that : x2+ y2 + z2 - xy - yz - zx is always positive.
If a + b = 11 and a2 + b2 = 65; find a3 + b3.
If x + 5y = 10; find the value of x3 + 125y3 + 150xy − 1000.
If a − 2b + 3c = 0; state the value of a3 − 8b3 + 27c3.
Using suitable identity, evaluate (104)3
Simplify :
`[(x^2 - y^2)^3 + (y^2 - z^2)^3 + (z^2 - x^2)^3]/[(x - y)^3 + (y - z)^3 + (z - x)^3]`
Evaluate :
`[1.2 xx 1.2 + 1.2 xx 0.3 + 0.3 xx 0.3 ]/[ 1.2 xx 1.2 xx 1.2 - 0.3 xx 0.3 xx 0.3]`
