Factorise the following expression x⁴-(y+z)⁴
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Answer:
ANSWER
x
4
−(y+z)
4
=(x
2
)
2
−{(y+z)
2
}
2
=(x
2
+(y+z)
2
)(x
2
−(y+z)
2
)
=(x
2
+(y+z)
2
)(x+y+z)(x−y−z)
=(x
2
+y
2
+z
2
+2yz)(x+y+z)(x−y−z)
=1×(x
2
+y
2
+z
2
+2yz)×(x+y+z)×(x−y−z)
Step-by-step explanation:
ANSWER
x
4
−(y+z)
4
=(x
2
)
2
−{(y+z)
2
}
2
=(x
2
+(y+z)
2
)(x
2
−(y+z)
2
)
=(x
2
+(y+z)
2
)(x+y+z)(x−y−z)
=(x
2
+y
2
+z
2
+2yz)(x+y+z)(x−y−z)
=1×(x
2
+y
2
+z
2
+2yz)×(x+y+z)×(x−y−z)
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