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 : ( x - 6 )( x - 4 )( x + 2 )
Simplify : ( x - 6 )( x - 4 )( x - 2 )
Simplify : ( x + 6 )( x - 4 )( x - 2 )
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`( 3x - 5/x )( 9x^2 + 15 + 25/x^2)`
Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`(a/3 - 3b)(a^2/9 + ab + 9b^2)`
Find : (a + b)(a + b)
If a + b = 11 and a2 + b2 = 65; find a3 + b3.
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.
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]`
