Question

find the product of (2a + 5b) and ( 2a - 5b)​

Answer 1

HI, SEE THE ATTACHMENT

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Answer 2

Answer: $\rm \bf 4a^2 -25b^2$

Solution Using Identity :

The product of (2a + 5b) and (2a - 5b)

Using Identity, $\rm \bf (a+b) (a-b) = a^2 - b^2$, We can find the product,

$\therefore \rm (2a + 5b) (2a - 5b) \\ \implies \rm (2a)^2 - (5b)^2 \\ \implies \rm \bf 4a^2 - 25b^2$

Step by Step explanation :

$\therefore \rm (2a +5b) (2a -5b) \\ \implies \rm 2a(2a - 5b) + 5b(2a - 5b) \\ \implies \rm 4a^2 - 10ab + 10ab - 25b^2 \\ \textsf{Cancelling \rm -10ab from \rm +10ab ,} \\ \implies \rm \bf 4a^2 - 25b^2$