x^{2} +y x^{2} (x^{2} -y x^{2} )
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Answer:
Rearrange terms
2
+
2
(
2
−
⋅
2
)
x^{2}+yx^{2}({\color{#c92786}{x^{2}-y \cdot x^{2}}})
x2+yx2(x2−y⋅x2)
2
+
2
(
−
⋅
2
+
2
)
x^{2}+yx^{2}({\color{#c92786}{-y \cdot x^{2}+x^{2}}})
x2+yx2(−y⋅x2+x2)
2
Distribute
2
+
2
(
−
⋅
2
+
2
)
x^{2}+{\color{#c92786}{yx^{2}(-y \cdot x^{2}+x^{2})}}
x2+yx2(−y⋅x2+x2)
2
−
2
2
+
4
x^{2}{\color{#c92786}{-yx^{2}yx^{2}+yx^{4}}}
x2−yx2yx2+yx4
3
Combine exponents
2
−
2
2
+
4
x^{2}-{\color{#c92786}{y}}x^{2}{\color{#c92786}{y}}x^{2}+yx^{4}
x2−yx2yx2+yx4
2
−
2
2
2
+
4
x^{2}-{\color{#c92786}{y^{2}}}x^{2}x^{2}+yx^{4}
x2−y2x2x2+yx4
4
Combine exponents
2
−
2
2
2
+
4
x^{2}-y^{2}{\color{#c92786}{x^{2}}}{\color{#c92786}{x^{2}}}+yx^{4}
x2−y2x2x2+yx4
2
−
2
4
+
4
x^{2}-y^{2}{\color{#c92786}{x^{4}}}+yx^{4}
x2−y2x4+yx4
Solution
2
−
2
4
+
4
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