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

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
$$\displaystyle{\left({3}{t}-{2}\right)}{\left({7}{t}-{4}\right)}$$
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
$$\displaystyle{\left({3}{t}-{2}\right)}{\left({7}{t}-{4}\right)}={21}{t}^{{2}}-{12}{t}-{14}{t}+{8}$$
$$\displaystyle={21}{t}^{{2}}-{26}{t}+{8}$$