Example

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

Question

$$Sin\ 45^{\circ}\cos\ 45^{\circ}-\sin^{2}30^{\circ}$$

Answer

$$45*Si*de*e*n*g^2*cos(45*d)-900*si*de^2*n*g^2$$

Solution


Remove parentheses.
\[Sin\times 45\cos{45d}^{\circ}eg-sin{(30deg)}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[Sin\times 45\cos{45d}^{\circ}eg-sin\times {30}^{2}{de}^{2}{g}^{2}\]
Simplify  \({30}^{2}\)  to  \(900\).
\[Sin\times 45\cos{45d}^{\circ}eg-sin\times 900{de}^{2}{g}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Sin\times 45de{g}^{2}(\cos{45d})e-sin\times 900{de}^{2}{g}^{2}\]
Regroup terms.
\[45Sideen{g}^{2}\cos{45d}-sin\times 900{de}^{2}{g}^{2}\]
Regroup terms.
\[45Sideen{g}^{2}\cos{45d}-900si{de}^{2}n{g}^{2}\]
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