Simplify (a3-y3)(a2+y2)
Answers
Step-by-step explanation:
How to solve your problem
(
3
−
1
3
)
(
2
+
2
)
(a^{3}-1y^{3})(a^{2}+y^{2})
(a3−1y3)(a2+y2)
Simplify
1
Distribute
(
3
−
3
)
(
2
+
2
)
{\color{#c92786}{(a^{3}-y^{3})(a^{2}+y^{2})}}
(a3−y3)(a2+y2)
(
2
+
2
)
⋅
3
+
(
2
+
2
)
(
−
3
)
{\color{#c92786}{(a^{2}+y^{2}) \cdot a^{3}+(a^{2}+y^{2})\left(-y^{3}\right)}}
(a2+y2)⋅a3+(a2+y2)(−y3)
2
Distribute
(
2
+
2
)
⋅
3
+
(
2
+
2
)
(
−
3
)
{\color{#c92786}{(a^{2}+y^{2}) \cdot a^{3}}}+(a^{2}+y^{2})\left(-y^{3}\right)
(a2+y2)⋅a3+(a2+y2)(−y3)
5
+
3
2
+
(
2
+
2
)
(
−
3
)
{\color{#c92786}{a^{5}+a^{3}y^{2}}}+(a^{2}+y^{2})\left(-y^{3}\right)
a5+a3y2+(a2+y2)(−y3)
3
Re-order terms so that constants are on the left
5
+
3
2
+
(
2
+
2
)
(
−
3
)
a^{5}+a^{3}y^{2}+(a^{2}+y^{2})\left(-y^{3}\right)
a5+a3y2+(a2+y2)(−y3)
5
+
3
2
−
(
2
+
2
)
⋅
3
a^{5}+a^{3}y^{2}-(a^{2}+y^{2}) \cdot y^{3}
a5+a3y2−(a2+y2)⋅y3
4
Distribute
5
+
3
2
−
(
2
+
2
)
⋅
3
a^{5}+a^{3}y^{2}-{\color{#c92786}{(a^{2}+y^{2}) \cdot y^{3}}}
a5+a3y2−(a2+y2)⋅y3
5
+
3
2
−
(
2
3
+
5
)
a^{5}+a^{3}y^{2}-\left({\color{#c92786}{a^{2}y^{3}+y^{5}}}\right)
a5+a3y2−(a2y3+y5)
5
Distribute
5
+
3
2
−
(
2
3
+
5
)
a^{5}+a^{3}y^{2}-\left(a^{2}y^{3}+y^{5}\right)
a5+a3y2−(a2y3+y5)
5
+
3
2
−
1
2
3
−
5
a^{5}+a^{3}y^{2}-1a^{2}y^{3}-y^{5}
a5+a3y2−1a2y3−y5
Solution
5+32−23−5
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(a3-y3)(a2+y2)
= a3a2-a3y2-y3a2-y3y2
=