Advertisements
Advertisements
Question
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2))` = ___________
Options
a2 – ab + b2
a2 + ab + b2
a2 + 2ab + b2
a2 – 2ab + b2
Advertisements
Solution
a2 + ab + b2
Explanation;
Hint:
`(("a" + "b")("a"^3 - "b"^3))/(("a"^2 - "b"^2)) = (("a" + "b")("a" - "b")("a"^2 + "ab" + "b"^2))/(("a" + "b")("a" - "b"))`
= a2 + ab + b2
APPEARS IN
RELATED QUESTIONS
Use a suitable identity to get the following products.
(x + 3) (x + 3)
Find the following squares by suing the identities
(xy + 3z)2
Expand (5a + 6b)2
Which of the options given below is the square of the binomial `(8-1/"x")`?
Use an expansion formula to find the value.
(997)2
The sum of areas of two squares with sides 4a and 4b is ______.
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 24x + 16
If a + b = 25 and a2 + b2 = 225, then find ab.
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.
