Advertisements
Advertisements
Question
Factorize `x^2 + 6sqrt2x + 10`
Advertisements
Solution
Splitting middle term
`= x^2 + 5sqrt2x + sqrt2x + 10` [∵ `6sqrt2 =5sqrt2 + sqrt2` and `5sqrt2 xx sqrt2 = 10`]
`= x(x + 5sqrt2) + sqrt2(x + 5sqrt2)`
`= (x + 5sqrt2)(x + sqrt2)`
`∴ x^2 + 6sqrt2x + 10 = (x + 5sqrt2)(x + sqrt2)`
APPEARS IN
RELATED QUESTIONS
Factorize: `a^2 x^2 + (ax^2 + 1)x + a`
Factorize (x + 2)(x2 + 25) -10x2 - 20x
Factorize `21x^2 - 2x + 1/21`
Factorize `8/27 x^3 + 1 + 4/3 x^2 + 2x`
Write the value of \[\left( \frac{1}{2} \right)^3 + \left( \frac{1}{3} \right)^3 - \left( \frac{5}{6} \right)^3 .\]
Evaluate: (a2 + 2ab + b2)(a + b)
Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2)
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).
Divide: 2a2 - 11a + 12 by a - 4
Give an algebraic equation for the following statement:
“The difference between the area and perimeter of a rectangle is 20”.
