Advertisements
Advertisements
प्रश्न
Factorize xy9 - yx9
Advertisements
उत्तर
xy9 - yx9
= xy ( y8 - x8 )
= xy (( y4)2 - (x4 )2 )
Using identity a2 - b2 = (a + b)(a - b)
= xy ( y4 + x4 )( y4 - x4 )
= xy ( y4 + x4 )(( y2)2 - (x2 )2 )
Using identity a2 - b2 = (a + b)(a - b)
= xy ( y4 + x4 )( y2 + x2 )( y2 - x2 )
= xy ( y4 + x4 )( y2 + x2 )( y + x)( y - x)
= xy (x4 + y4 )(x2 + y2 )( x + y )(-1)( x - y )
∵ (b - a) = -1(a - b)
= -xy (x4 + y4 )(x2 + y2 )( x + y )( x - y )
∴ xy9 - yx9 = -xy (x4 + y4 )(x2 + y2 )(x + y )(x - y )
APPEARS IN
संबंधित प्रश्न
Factorize x( x - 2)( x - 4) + 4x - 8
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
Factorize x3 -12x ( x - 4) - 64
If x3 − 3x2 + 3x − 7 = (x + 1) (ax2 + bx + c), then a + b + c =
Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2)
Divide: 4a2 - a by - a
Divide:
n2 − 2n + 1 by n − 1
Write in the form of an algebraic expression:
Perimeter (P) of a square is four times its side.
Find the average (A) of four quantities p, q, r and s. If A = 6, p = 3, q = 5 and r = 7; find the value of s.
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
