Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`x^2/4 + 2x + 4`
Advertisements
Solution
We have,
`x^2/4 + 2x + 4`
= `(x/2)^2 + 2 xx x/2 xx 2 + 2^2`
= `(x/2 + 2)^2`
= `(x/2 + 2)(x/2 + 2)`
APPEARS IN
RELATED QUESTIONS
Use the formula to find the value.
97 × 103
Expand: (10 + y)2
Expand (3m + 5)2
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2))` = ___________
The difference of the squares of two consecutive numbers is their sum.
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length.
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
If p + q = 12 and pq = 22, then find p2 + q2.
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
