Evaluate: (3/5a + 1/2) (3/5a - 1/2)

Using the formula [∵ (x \+ y)(x \- y) = x 2 \- y 2 ] = = Hence, =

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$\Big(\dfrac{3}{5}a +\dfrac{1}{2}\Big)$ $\Big(\dfrac{3}{5}a -\dfrac{1}{2}\Big)$

Using the formula

[∵ (x + y)(x - y) = x² - y²]

= $\Big(\dfrac{3}{5}a\Big)^2 - \Big(\dfrac{1}{2}\Big)^2$

= $\Big(\dfrac{9}{25}a^2\Big) - \dfrac{1}{4}$

Hence, $\Big(\dfrac{3}{5}a +\dfrac{1}{2}\Big)$ $\Big(\dfrac{3}{5}a -\dfrac{1}{2}\Big)$ = $\Big(\dfrac{9}{25}a^2\Big) - \dfrac{1}{4}$

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