Advertisements
Advertisements
Question
Expand (5a + 6b)2
Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2.
(5a + 6b)2
= (5a)2 + 2 × (5a) (6b) + (6b)2
= 25a2 + 60ab + 36b2
RELATED QUESTIONS
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Using identities, evaluate 297 × 303
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 5.1 × 5.2
Expand `("x"+1/2)^2`
Use an expansion formula to find the value.
(102)2
Use the formula to multiply the following.
(x + y) (x − y)
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 4x + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 12x + 9
Factorise `x^2 + 1/x^2 + 2 - 3x - 3/x`.
Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.