The product of (2x – a) and (2x + 3a) is _______________.
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Answer:
(2x-a)(2x+3a)
=2x(2x+3a)-a(2x+3a)
=4x²+6xa-2ax-3a²
=4x²+6xa-2xa-3a²
=4x²+4xa-3a²
or by using the formula
(x+a)(x+b)=x²+(a+b)x+ab
Here, x=2x, a=-a, b=3a
On substituting the values of a,b and x,
we have, (2x)²+(-a+3a)2x+(-a × 3a)
= 4x²+(2a)2x-3a²
= 4x²+4xa-3a²
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