Advertisements
Advertisements
Question
Factorize `x^2 + 5sqrt5x + 30`
Advertisements
Solution
Splitting the middle term,
`= x^2 + 2sqrt5x + 3sqrt5x + 30` `[∵ 5sqrt5 = 2sqrt5 + 3sqrt5 " also " 2sqrt5 xx sqrt3 = 30]`
`= x(x + 2sqrt5) + 3sqrt5(x + 2sqrt5)`
`= (x + 2sqrt5)(x + 3sqrt5)`
`∴ x^2 + 5sqrt5x + 30 = (x + 2sqrt5)(x + 3sqrt5)`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
x3 - 8y3 + 27z3 +18xyz
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
The expression x4 + 4 can be factorized as
Write the number of the term of the following polynomial.
ax – by + y x z
Evaluate: - 4y (15 + 12y - 8z) (x - 2y)
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).
Solve the following equation.
3y + 4 = 5y − 6
The total number of planets of Sun can be denoted by the variable n.
