(16x^4 +1)(4x^2 +1)(2x+1)(1-2x)

勇敢De猪2022-10-04 11:39:541条回答

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tinyship 共回答了16个问题 | 采纳率87.5%
(16x^4 +1)(4x^2 +1)(2x+1)(1-2x)
=(16x^4 +1)(4x^2 +1)(1-4x^2)
=(16x^4 +1)(1-16x^4)
=1-256x^8
1年前

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(1)
9x²-16y²
=(3x)²-(4y)²
=(3x+4y)(3x-4y)
(2)
100-(3x+2y)²
=10²-(3x+2y)²
=[10+(3x+2y)][10-(3x+2y)]
=(3x+2y+10)(10-3x-2y)
(3)
-1+16x²
=(4x)²-1
=(4x+1)(4x-1)
(4)
a²b³-4a²b
=a²b(b²-4)
=a²b(b+2)(b-2)

16x^4-y^4
=(4x²+y²)(4x²-y²)
=(4x²+y²)(2x+y)(2x-y)

(2x+1)²-x²
=[(2x+1)+x][(2x+1)-x]
=(3x+1)(x+1)

6.4²-3.6²
=(6.4+3.6)(6.4-3.6)
=10x2.8
=28

1.4²×9-2.3²×36
=(1.4x3)²-(2.3x6)²
=4.2²-13.8²
=(4.2+13.8)(4.2-13.8)
=18x(-9.6)
= -172.8

x^4-x²
=(x²+1)(x²-1)
=(x²+1)(x+1)(x-1)