Question

(6x+3)(6x+5),Expand the given equation.

Answer 1

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$(6x + 3)(6x + 5) \\ 6x(6x + 5) + 3(6x + 5) \\ 36x {}^{2} + 30x + 18x + 15 \\ 36x {}^{2} + 48x + 15$
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Answer 2

Hey there!

Expanding (6x+3)(6x+5),

(6x + 3 ) ( 6x + 5 )

= (6x)² + ( 3 + 5 ) 6x + 3 * 5

= 36x² + 8 * 6x + 15

= 36x² + 48x + 15

Here, We have used simplification using identities.

( x - a) ( x - b)

= x ( x - b ) - a ( x - b)

= x² -ax -bx + ab

= x² - (a + b) x + ab.

That is, ( x - a) ( x - b) = x² - (a + b) x + ab.

Hope helped