Question

Question 2
When planning your website, what is one of the key things you should consider?
A
The order your products will appear on the site
B
What you want your customers to do on the site
C
How customers will interact with the site
D
What your customers want to see on the site

Answer 1

Answer:

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

$\sf a \: + \: \dfrac{1}{a} \: = \: m \: , \: a \: - \: \dfrac{1}{a} \: = \: n$

a ≠ 0

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

m² - n²

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

m² - n²

Here,

$\sf a \: + \: \dfrac{1}{a} \: = \: m$

$\sf a \: - \: \dfrac{1}{a} \: = \: n$

We know that,

a² - b² = (a + b)(a - b)

Here,

m² - n² = (m + n)(m - n)

Substituting the values,

(m + n)(m - n)

$\sf \bigg(a \: + \: \dfrac{1}{a} \: + \: a \: - \: \dfrac{1}{a}\bigg)\bigg(a \: + \: \dfrac{1}{a} \: - \big(a \: - \: \dfrac{1}{a}\big)\bigg)$

$\sf \bigg(a \: + \: \dfrac{1}{a} \: + \: a \: - \: \dfrac{1}{a}\bigg)\bigg(a \: + \: \dfrac{1}{a} \: - a \: + \: \dfrac{1}{a}\bigg)$

$\sf \bigg(a \: \cancel{+ \: \dfrac{1}{a}} \: + \: a \: \cancel{- \: \dfrac{1}{a}}\bigg)\bigg(\cancel{a} \: + \: \dfrac{1}{a} \: \cancel{- \: a} \: + \: \dfrac{1}{a}\bigg)$

$\sf \big(a \: + \: a \big)\bigg(\dfrac{1}{a} \: + \: \dfrac{1}{a}\bigg)$

$\sf \big(2a \big)\bigg(\dfrac{2}{a} \bigg)$

$\sf 2a \: * \: \dfrac{2}{a}$

$\sf 2\cancel{a} \: * \: \dfrac{2}{\cancel{a}}$

$\sf 2 \: * \: \dfrac{2}{1}$

$\sf 2 \: * \: 2$

$\sf 4$

Therefore,

m² - n² = 4