Multiply the algebraic expressions using the FOIL method, and simplify.(3t-2)(7t-4)

Anonym 2021-09-15 Answered
Multiply the algebraic expressions using the FOIL method, and simplify.
\(\displaystyle{\left({3}{t}-{2}\right)}{\left({7}{t}-{4}\right)}\)

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2k1enyvp
Answered 2021-09-16 Author has 26006 answers
\(\displaystyle{\left({3}{t}-{2}\right)}{\left({7}{t}-{4}\right)}\)
By using FOIL method, The order of multiplying is First terms, Outside terms, Inside terms and Last terms of the given two polynomials.
That is,
\(\displaystyle{3}{t}{\left({7}{t}\right)}={21}{t}^{{2}}\)
\(\displaystyle{3}{t}{\left(-{4}\right)}=-{12}{t}\)
\(\displaystyle-{2}{\left({7}{t}\right)}=-{14}{t}\)
\(\displaystyle-{2}{\left(-{4}\right)}={8}\)
Now by combining all the result we get
\(\displaystyle{\left({3}{t}-{2}\right)}{\left({7}{t}-{4}\right)}={21}{t}^{{2}}-{12}{t}-{14}{t}+{8}\)
\(\displaystyle={21}{t}^{{2}}-{26}{t}+{8}\)
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