Write the following squares of binomials as trinomials: (3x−1 3x … - Vidyadip

Question

Write the following squares of binomials as trinomials:
$\big(3\text{x}−\frac{1}{3\text{x}}\big)^2$

✓

Answer

We will use the identities $(a+b)^2=a^2+2 a b+b^2$ and $(a-b)^2=a^2-2 a b+b^2$ to convert the squares of binomials as trinomials.
$\big(3\text{x}−\frac{1}{3\text{x}}\big)^2$
$=(3\text{x})^2−2(3\text{x})\big(\frac{1}{3}\text{x}\big)+\big(\frac{1}{3\text{x}})^2$
$=9\text{x}^2−2+\frac{1}{9\text{x}^2}$

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 "1 Marks Question" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Write the units digit of the cube of the following number: $833$

Express the following as a decimal: $72\%$

Fill in the blanks. If $r$ is the radius of the base and $h$ be the height of a cylinder, then its volume is __________ cubic units.

Define the following term: Raw data.

The solution of the equation $3x - 4 = 1 - 2 x$ is _________.

Express the number $7.54 \times 10^{-4}$ in the usual form.

Write true $(T)$ or false $(F)$ for the following statements.
There is no square number between $50$ and $60.$

Madhu’s room measures $6m × 3m.$ Her carpet covers 8m2. What per cent of floor is covered by the carpet$?$

Find the multiplicative inverse (i.e., reciprocal) of:
$\frac{2}{-5}$

If amount on the principal of $Rs. 6,000$ is written as $6000 \Big[1+\frac{5}{100}\Big]^3$and compound interest payable half yearly, then rate of interest p.a. is _______ and time in years is _______.