Advertisements
Advertisements
Question
125 + 8x3 - 27 y3 + 90xy
Solution
= 53 + (2x)3 + (-3y )3 - 3 × 5 × 2x × (-3y )
= (5 + 2x + (-3y ))(52 + (2x)2 + (-3y )2 - 5(2x) - 2x (-3y ) - (-3y )5)
= (5 + 2x - 3y )(25 + 4x2 + 9 y2 -10x + 6xy +15 y )
∴ 125 + 8x3 - 27 y3 + 90xy = (5 + 2x - 3y)(25 + 4x2 + 9 y2 -10x + 6xy +15y )
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorize : x2 + y - xy - x
Factorize the following expressions:
`x^3/216 - 8y^3`
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
x3 - 8y3 + 27z3 +18xyz
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
Evaluate: (6p2 - 8pq + 2q2) (- 5p)
Divide: 4a2 + 4a + 1 by 2a + 1
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
