What is expand (x^2-y+z)(x^2+y-z) ?

The solution to expand (x^2-y+z)(x^2+y-z) is x^4-y^2+2yz-z^2

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expand (x^2-y+z)(x^2+y-z)

expand

(x^{2} - y + z) (x^{2} + y - z)

x^{4} - y^{2} + 2 yz - z^{2}

Solution steps

(x^{2} - y + z) (x^{2} + y - z)

Distribute parentheses

= x^{2} x^{2} + x^{2} y + x^{2} (- z) - y x^{2} - yy - y (- z) + z x^{2} + zy + z (- z)

Simplify

x^{2} x^{2} + x^{2} y + x^{2} (- z) - y x^{2} - yy - y (- z) + z x^{2} + zy + z (- z) : x^{4} - y^{2} + 2 yz - z^{2}

= x^{4} - y^{2} + 2 yz - z^{2}

5 x^{4} (x^{2})

53 - 3

\frac{8}{9} - \frac{5}{6}

21 x^{2} + 72 x - 48

w - 4 (- 7 w - 10)

What is expand (x^2-y+z)(x^2+y-z) ?
The solution to expand (x^2-y+z)(x^2+y-z) is x^4-y^2+2yz-z^2