What is factor (x^2)/(16)-30/4 x+225 ?

The solution to factor (x^2)/(16)-30/4 x+225 is (x/4-15)^2

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factor (x^2)/(16)-30/4 x+225

factor

\frac{x ^{2}}{16} - \frac{30}{4} x + 225

(\frac{x}{4} - 15)^{2}

Solution steps

\frac{x ^{2}}{16} - \frac{30}{4} x + 225

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

\frac{x ^{2}}{16} = (\frac{1}{4} x)^{2}

225 = 1 5^{2}

= (\frac{1}{4} x)^{2} - \frac{30 x}{4} + 1 5^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(\frac{1}{4} x)^{2} - \frac{30 x}{4} + 1 5^{2} = (\frac{1}{4} x - 15)^{2}

= (\frac{1}{4} x - 15)^{2}

x^{4} - x^{3} - 3 x^{2} + x + 2

\frac{4}{5} \times 10

\frac{6}{5} \div 2

- 3 \times 10

2 x^{2} + 6 x + 8

What is factor (x^2)/(16)-30/4 x+225 ?
The solution to factor (x^2)/(16)-30/4 x+225 is (x/4-15)^2