Advertisements
Advertisements
प्रश्न
Factorize a2 + 4b2 - 4ab - 4c2
Advertisements
उत्तर
On rearranging
= a2 - 4ab + 4b2 - 4c2
= (a)2 - 2 x a x 2b + (2b)2 - 4c2
Using identity a2 - 2ab + b2 = (a - b)2
= (a - 2b)2 - 4c2
= (a - 2b)2 - (2c)2
Using identity a2 - b2 = (a + b)(a - b)
= (a - 2b + 2c)(a - 2b - 2c)
∴ a2 + 4b2 - 4ab - 4c2 = (a - 2b + 2c)(a - 2b - 2c)
APPEARS IN
संबंधित प्रश्न
Factorize (a - b + c)2 + (b - c + a)2 + 2(a - b + c) (b - c + a)
Factorize `x^2 - 2sqrt2x - 30`
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
If x + y = 4 and xy = 2, find the value of x2 + y2
The factors of x4 + x2 + 25 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: (2x - 3y)(2x + 3y)
Divide: 4a2 - a by - a
Express the following properties with variables x, y and z.
Commutative property of multiplication
Which of the following is an example of a monomial?
