Advertisements
Advertisements
प्रश्न
Simplify : ( x - 6 )( x - 4 )( x + 2 )
उत्तर
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
संबंधित प्रश्न
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
( 2x + 3y )( 4x2 + 6xy + 9y2 )
Find : (a - b)(a - b)(a - b)
If x = 3 + 2√2, find :
(i) `1/x`
(ii) `x - 1/x`
(iii) `( x - 1/x )^3`
(iv) `x^3 - 1/x^3`
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]`
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]`
