16a^2 144 #160; can be written as (4a)^2 #160; (12)^2 By using the formula a^2 b^2 = (a+b)(a b) #160;Now solving for the above equat ...

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(a+b)(a-b) Expansion and Visualisation

Factorise 16...

Question

Factorise
$16 a^{2} - 144$

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Solution

$16 a^{2} - 144$ can be written as $(4 a)^{2} - (12)^{2}$
By using the formula $a^{2} - b^{2} = (a + b) (a - b)$
Now solving for the above equation
$(4 a)^{2} - (12)^{2}$ = (4a+12) (4a-12) $=$ 4(a+3) 4(a-3) $= 16 (a + 3) (a - 3)$

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