factorize 81y⁴-288y²+256
Answers
Answered by
0
Answer:
81x
4
−256y
4
=(9x)
4
−(16y)
4
=((9x)
2
)
2
−((16y)
2
)
2
Usinga
2
−b
2
=(a+b)(a−b)
((9x)
2
+(16y)
2
)((9x
2
)−(16y)
2
)
AgainUsinga
2
−b
2
=(a+b)(a−b)
(81x
2
+256x
2
)(9x+16y)(9x−16y)
Answered by
0
Answer:
=81y^4-(144+144) y^2+256
=81y^4-144y^2-144y^2+256
=9y^2(9y^2-16) -16(9y^2-16)
=(9y^2-16) (9y^2-16)
=9y^2=16
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