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konstantin123 [22]
3 years ago
8

How to expand the following problem

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
Answer is 2 because it’s true
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Factorise<br><br>a² - 144<br>Please factorise this​
charle [14.2K]

Answer:

  • \bf\pink{(a-12)\times (a+12)}

Step-by-step explanation:

<h2><u>Given Expression</u> :-</h2>

  • \bf\blue{a^{2} - 144}

<h2><u>Steps to factorise</u> :-</h2>

\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)}

(<u>Refer the attachment for graph representation</u>)

<h2><u>Graph Details</u> :-</h2>

\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)}

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