Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$36 { \times }^{ 4 } -109 { \times }^{ 2 } { y }^{ 2 } +49 { y }^{ 4 }$$

Answer

$$36*^5-109*^3*y^2+49*y^4$$

Solution


Remove parentheses.
\[36{}^{4}-109{}^{2}{y}^{2}+49{y}^{4}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[36{}^{5}-109{}^{2}{y}^{2}+49{y}^{4}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[36{}^{5}-109{}^{3}{y}^{2}+49{y}^{4}\]
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