Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`x^2/4 + 2x + 4`
Solution
We have,
`x^2/4 + 2x + 4`
= `(x/2)^2 + 2 * x/2 * 2 + 2^2`
= `(x/2 + 2)^2`
= `(x/2 + 2)(x/2 + 2)`
APPEARS IN
RELATED QUESTIONS
Use a suitable identity to get the following products.
(1.1m − 0.4) (1.1 m + 0.4)
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Simplify (ab + bc)2 − 2ab2c
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 5.1 × 5.2
Expand (5a + 6b)2
Use the formula to find the value.
97 × 103
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 2x + 1
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
If a + b = 25 and a2 + b2 = 225, then find ab.
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2