Factorise (3x-4y)^4-x^4
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Answer:
ANSWER
(3x−4y)
2
−x
4
⇒[(3x−4y)
2
]
2
−(x
2
)
2
⇒[(3x−4y)
2
−x
2
][(3x−4y)
2
+x
2
]
⇒[(3x−4y)+x][3x−4y−x][(3x−4y)
2
+x
2
]
⇒(4x−4y)(2x−4y)[(3x−4y)
2
+x
2
]
⇒8(x−y)(x−2y)[9x
2
+16y
2
−24xy+x
2
]
⇒16(x−y)(x−2y)[5x
2
+8y
2
−12xy]
Step-by-step explanation:
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