To multiply: the given binomial using FOIL method. 5x^{2}(3x^{2

rabbitz42z8 2021-11-22 Answered
To multiply: the given binomial using FOIL method.
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}^{{{2}}}-{x}+{2}\right)}\)

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Expert Answer

Annie Midgett
Answered 2021-11-23 Author has 20 answers
Step 1
The given equation is
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}-{x}+{2}\right)}\)
Now, multiply the given trinomial by applying distributive property,
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}^{{{2}}}-{x}+{2}\right)}\)
\(\displaystyle={\left({\left({3}{x}^{{{2}}}\right)}{\left({5}{x}^{{{2}}}\right)}-{\left({x}\right)}{\left({5}{x}^{{{2}}}\right)}+{\left({2}\right)}{\left({5}{x}^{{{2}}}\right)}\right)}\)
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}^{{{2}}}-{x}+{2}\right)}\)
\(\displaystyle={\left({15}{x}^{{{4}}}-{5}{x}^{{{3}}}+{10}{x}^{{{2}}}\right)}\)
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}^{{{2}}}-{x}+{2}\right)}\)
\(\displaystyle={15}{x}^{{{4}}}-{5}{x}^{{{3}}}+{10}{x}^{{{2}}}\)
Hence, the multiplication of the given expression is
\(\displaystyle{5}{x}^{{{2}}}{\left({3}{x}^{{{2}}}-{x}+{2}\right)}={15}{x}^{{{4}}}-{5}{x}^{{{3}}}+{10}{x}^{{{2}}}\)
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