Advertisements
Advertisements
Question
Factorize `2a^2 + 2 sqrt6ab + 3b^2`
Solution
`= (2sqrta)^2 + 2 xx sqrt2a xx sqrt3b + (sqrt3b)^2`
Using identity a2 + 2ab + b2 = (a + b)2
`= (sqrt2a + sqrt3b)^2`
`= (sqrt2a + sqrt3b)(sqrt2a + sqrt3b)`
`∴ 2a^2 + 2sqrt6ab + 3b^2 = (sqrt2a + sqrt3b)(sqrt2a + sqrt3b)`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operation.
Subtraction of z from y
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Factorize the following expressions
1- 27a3
Factorize 8a3 + 27b3 + 36a2b + 54ab2
If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.
Factorize: x4 + x2 + 25.
Multiply: (2x + 3y)(2x - 3y)
Divide: 8x + 24 by 4
Write in the form of an algebraic expression:
Area of a square is square of its side.
Express the following properties with variables x, y and z.
Associative property of multiplication
