Advertisements
Advertisements
Question
Simplify (4m + 5n)2 + (5m + 4n)2
Advertisements
Solution
(4m + 5n)2 + (5m + 4n)2
= (4m)2 + 2(4m) (5n) + (5n)2 + (5m)2 + 2(5m) (4n) + (4n)2
[ (a + b)2 = a2 + 2ab + b2]
= 16m2 + 40mn + 25n2 + 25m2 + 40mn + 16n2
= 41m2 + 80mn + 41n2
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify (a2 − b2)2
Simplify (m2 − n2m)2 + 2m3n2
Which of the options given below is the square of the binomial `(8-1/"x")`?
Use an expansion formula to find the value.
(1005)2
Use the formula to multiply the following.
`(x/5+6)(x/5-6)`
Expand: (2x + 3y)2
Expand the following square, using suitable identities
(2x + 5)2
Simplify: (a + b)2 – 4ab
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2ax + 1
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
