Question

Factorise

a² - 144
Please factorise this​

Answer 1

a² ÷a = a

144 ÷ 2= 12

(a - 12) (a + 12)

Answer 2

• 
  `\bf\pink{(a-12)* (a+12)}`

Explanation:

Given Expression :-

• 
  `\bf\blue{a^(2) - 144}`

Steps to factorise :-

`\longrightarrow\:\:\bf\red{a^(2) - 144}`

• Write the number in the exponential form with an exponent of 2

`\longrightarrow\:\:\bf\orange{a^(2)-12^(2)}`

• Using a²-b² = (a-b)(a+b), factor the expression.

`\longrightarrow\:\:\bf\purple{(a-12)* (a+12)}`

(Refer the attachment for graph representation)

Graph Details :-

`\bigstar\:\:\bf{y=a^(2)-144}`

• 
  `\rm{ Roots \:\:(-12,\:0)\:(12,\:0)}`

• 
  `\rm{Domain \:\:a \in {\mathbb{R}}}`

• 
  `\rm{Range \:\:y\in \bigg( -144,\:+\infty \bigg) }`

• 
  `\rm{Minimum \:\: (0,\:-144)}`

• 
  `\rm{Vertical\: Intercept\:\:(0,\:-144)}`