Question

Factorise

a² - 144
Please factorise this​

Answer 1

Answer:

a² ÷a = a

144 ÷ 2= 12

(a - 12) (a + 12)

Answer 2

Answer:

• $\bf\pink{(a-12)\times (a+12)}$

Step-by-step 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.

$\longrightarrow\:\:\bf\purple{(a-12)\times (a+12)}$

(Refer the attachment for graph representation)

Graph Details :-

$\bigstar\:\:\bf{y=a^{2}-144}$

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

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

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

• $\rm{Minimum \:\: (0,\:-144)}$

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