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Sagot :
its a special product of sum and difference.
(2a+6b)(2a-6b) = 4a² - 36b²
in which you just square the first term which is (2a)² = 4a²
then square the second term which is (6b)² = 36b²
then you put negative sign between the two
(2a+6b)(2a-6b) = 4a² - 36b²
in which you just square the first term which is (2a)² = 4a²
then square the second term which is (6b)² = 36b²
then you put negative sign between the two
FOIL; First, Outside, Inside, Last
[tex](2a+6b)(2a-6b)\\\\First;\ 2a\times2a=4a^2\\Outside;\ 2a\times-6b=-12ab\\Inside;\ 6b\times2a=12ba\\Last;\ 6b\times-6b=-36b^2\\\\[/tex]
Combine Like Terms.
[tex]-12ba+12ab=0\\\\\boxed{4a^2-36b^2}[/tex]
[tex](2a+6b)(2a-6b)\\\\First;\ 2a\times2a=4a^2\\Outside;\ 2a\times-6b=-12ab\\Inside;\ 6b\times2a=12ba\\Last;\ 6b\times-6b=-36b^2\\\\[/tex]
Combine Like Terms.
[tex]-12ba+12ab=0\\\\\boxed{4a^2-36b^2}[/tex]
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