Advertisements
Advertisements
Question
Factorize x3 -12x ( x - 4) - 64
Advertisements
Solution
x3 -12x ( x - 4) - 64
= x3 -12x2 + 48x - 64
= ( x)3 - 3 × x2 × 4 + 3 × 42 × x - 43
= ( x - 4)3 [ ∵ a3 - 3a2b + 3ab2 - b3 = (a - b)3]
= ( x - 4)( x - 4)( x - 4)
∴ x3 -12x ( x - 4) - 64 = ( x - 4)( x - 4)( x - 4)
APPEARS IN
RELATED QUESTIONS
Given possible expressions for the length and breadth of the rectangle having 35y2 + 13y – 12 as its area.
Factorize the following expressions:
54x6y + 2x3y4
Factorize the following expressions:
`a^3 - 1/a^3 - 2a + 2/a`
125 + 8x3 - 27 y3 + 90xy
The factors of x4 + x2 + 25 are
Express the following as an algebraic expression:
Sum of p and 2r – s minus sum of a and 3n + 4x.
Write the coefficient of x2 and x in the following polynomials
`4 + 2/5x^2 - 3x`
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
Match Column I with Column II in the following:
| Column I | Column II |
| 1. The difference of 3 and a number squared | (a) 4 – 2x |
| 2. 5 less than twice a number squared | (b) n2 – 3 |
| 3. Five minus twice the square of a number | (c) 2n2 – 5 |
| 4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
| 5. Seven times the sum of a number and 1 | (e) 3 – n2 |
| 6. A number squared plus 6 | (f) 2(n + 6) |
| 7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
| 8. Three less than the square of a number | (h) n2 + 6 |
