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 - 12x2 + (24 + 8 + 12)x - 48
= x3 - 12x2 + 44x - 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 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
Using suitable identity, evaluate (97)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 :
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`
