Advertisements
Advertisements
Question
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
Advertisements
Solution
Splitting the middle term,
`= 5sqrt5x^2 + 15x + 5x + 3sqrt5` `[∵ 20 = 15 + 5 and 15 xx 5 = 5 = 5sqrt5 xx 3sqrt5]`
`= 5x(sqrt5x + 3) + sqrt5(sqrt5x + 3)`
`=(sqrt5x + 3)(5x + sqrt5)`
`∴ 5sqrt5 x^2 + 20x + 3sqrt5 = (sqrt5x + 3)(5x + sqrt5)`
APPEARS IN
RELATED QUESTIONS
Factorize: a (a + b)3 - 3a2b (a + b)
Factorize `9(2a - b)^2 - 4(2a - b) - 13`
Factorize 8a3 – 27b3 – 36a2b + 54ab2
The factors of x3 − 7x + 6 are
Evaluate: (4m - 2)(m2 + 5m - 6)
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).
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
–b – 0 is equal to ______.
Sonu and Raj have to collect different kinds of leaves for science project. They go to a park where Sonu collects 12 leaves and Raj collects x leaves. After some time Sonu loses 3 leaves and Raj collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them.
A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?
