Advertisements
Advertisements
Question
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Advertisements
Solution
`(x/2 + (3y)/4)(x/2 + (3y)/4)` = `(x/2 + (3y)/4)^2`
= `(x/2)^2 + 2(x/2)((3y)/4) + ((3y)/4)^2` [(a + b)2 = a2 + 2ab + b2]
= `x^2/4 + (3xy)/4 + (9y^2)/16`
RELATED QUESTIONS
Find the following squares by suing the identities
(0.4p − 0.5q)2
Using identities, evaluate 297 × 303
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 104
Use the formula to multiply the following.
(a + 6) (a − 6)
Use the formula to find the value.
54 × 46
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2))` = ___________
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 2x + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 4x + 1
Factorise the following.
y2 + 7y + 12
If a + b = 25 and a2 + b2 = 225, then find ab.
