Advertisements
Advertisements
प्रश्न
125 + 8x3 - 27 y3 + 90xy
Advertisements
उत्तर
= 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 )
APPEARS IN
संबंधित प्रश्न
Factorize `x^2 - sqrt3x - 6`
(a – 3b)3 + (3b – c)3 + (c – a)3
Write the value of 253 − 753 + 503.
The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are
Separate the constants and variables from the following :
`-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",`
8 −5, 8 − 5x, 8x −5y × p and 3y2z ÷ 4x
Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2)
Divide: 25x2y by - 5y2
Write in the form of an algebraic expression:
Area of a square is square of its side.
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 |
Express the following properties with variables x, y and z.
Commutative property of multiplication
