Advertisements
Advertisements
Question
Factorise the following using suitable identity
36m2 + 60m + 25
Sum
Advertisements
Solution
36m2 + 60m + 25 = 62m2 + 2 × 6m × 5 + 52
This expression is of the form of identity
a2 + 2ab + b2 = (a + b)2
(6m)2 + (2 × 6m × 5) + 52
= (6m + 5)2
36m2 + 60m + 25 = (6m + 5)(6m + 5)
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.1 [Page 62]
APPEARS IN
RELATED QUESTIONS
Find the following squares by suing the identities
(xy + 3z)2
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Using a2 − b2 = (a + b) (a − b), find 12.12 − 7.92
Expand `("x"+1/2)^2`
Which of the options given below is the square of the binomial `(8-1/"x")`?
Use the formula to multiply the following.
(3x − 5) (3x + 5)
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2))` = ___________
Expand the following square, using suitable identities
(2x + 5)2
Factorise the following.
x2 + 9x + 20
If a2 + b2 = 74 and ab = 35, then find a + b.
