Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
10x4y – 10xy4
Advertisements
उत्तर
10x4y - 10xy4
= 10xy (x3 - y3)
= 10xy( x - y )(x2 + xy + y2 ) [∵ a3 - b3 = (a - b)(a2 + ab + b2)]
∴ 10x4 y -10xy4 = 10xy ( x - y )(x2 + xy + y2)
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
Factorize 4( x - y)2 -12( x - y)( x + y ) + 9(x + y )2
Factorize the following expressions:
x6 + y6
What must be added to the following expression to make it a whole square?
4x2 − 12x + 7
If a + b + c = 0, then write the value of a3 + b3 + c3.
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
Complete the table.
| × | 2x2 | −2xy | x4y3 | 2xyz | (___)xz2 |
| x4 | |||||
| (___) | 4x5y4 | ||||
| −x2y | |||||
| 2y2z | −10xy2z3 | ||||
| −3xyz | |||||
| (___) | −14xyz2 |
In a polynomial, the exponents of the variables are always ______.
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ______ more toffees.
A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?
