If f(x)=(x-a)^2(x-b)^2, find f(a+b) - Vidyadip

Question

If $f(x)=(x-a)^2(x-b)^2$, find $f(a+b)$

✓

Answer

We have, $f(x)=(x-a)^2(x-b)^2$ Now, $f(a+b)=(a+b-a)^2(a+b-b)^2=b^2 a^2$ Hence, $f(a+b)=a^2 b^2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from Functions→Functions — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the square root of the following complex numbers: $-\text{i}$

Find the equation of the circle with centre (1, 1) and radius $\sqrt2$

$\text { If }(a+i b)(c+i d)(e+i f)(g+i h)=A+i B \text { then show that }$
$\left(a^2+b^2\right)\left(c^2+d^2\right)\left(e^2+f^2\right)\left(g^2+h^2\right)=A^2+B^2$

Given $P(A) = \frac{3}{5}$ and $P(B) = \frac{1}{5}$. Find P (A or B), if A and B are mutually exclusive events.

If n A.M.s are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.

Solve the following linear inequations in R: 3x - 7 > x + 1

If $^n{C_8}{ = ^n}{C_2}$ . find $^n{C_2}$.

A coin is tossed three times, consider the events"
A: ‘No head appears’,
B: ‘Exactly one head appears’ and
C: ‘Atleast two heads appear’.
Do they form a set of mutually exclusive and exhaustive events?

Define a relation R on the set N of natural number by R = $\{$(x, y): y = x + 5}, x is a natural number less than 4, $\text{x, y}\in\text{N}\}$
Depict this relationship using:

Roster form.
An arrow diagram. Write down the domain and range or R.

Which term of the progression 0.004, 0.02, 0.1, ... is 12.5₹