What is (zsqrt(x^2-z^2))/4+(z(P-z-2x))/2 ?

The solution to (zsqrt(x^2-z^2))/4+(z(P-z-2x))/2 is (zsqrt(x^2-z^2)+2zP-2z^2-4zx)/4

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simplify (zsqrt(x^2-z^2))/4+(z(P-z-2x))/2

simplify

\frac{z x ^{2} - z ^{2}}{4} + \frac{z ( P - z - 2 x )}{2}

\frac{z x ^{2} - z ^{2} + 2 z P - 2 z ^{2} - 4 z x}{4}

Solution steps

\frac{z x ^{2} - z ^{2}}{4} + \frac{z ( P - z - 2 x )}{2}

Least Common Multiplier of

4, 2 : 4

Adjust Fractions based on the LCM

= \frac{z x ^{2} - z ^{2}}{4} + \frac{z ( P - z - 2 x ) \cdot 2}{4}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{z x ^{2} - z ^{2} + z ( P - z - 2 x ) \cdot 2}{4}

Simplify

z x^{2} - z^{2} + z (P - z - 2 x) \cdot 2 : z x^{2} - z^{2} + 2 z P - 2 z^{2} - 4 z x

= \frac{z x ^{2} - z ^{2} + 2 z P - 2 z ^{2} - 4 z x}{4}

(F (2) = 5 (2)^{3} - 2 (2)^{2} + 3 x - 1) (x - 1) (x + 3)

(x - 6 + 7) (x - 6 - 7)

(8 x^{2} + 4 x 4 x^{2} - 1 - 1) (1 - x)

\frac{3 ( 4 x + 1 )}{2}

(x^{2} - 1) \cdot ln (x + 3)

What is (zsqrt(x^2-z^2))/4+(z(P-z-2x))/2 ?
The solution to (zsqrt(x^2-z^2))/4+(z(P-z-2x))/2 is (zsqrt(x^2-z^2)+2zP-2z^2-4zx)/4