数学题(1)38.5²-36.5²(2)(2x-3y-1)(2x+3y+1)(3+1)(3^2+1)
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数学题(1)38.5²-36.5²(2)(2x-3y-1)(2x+3y+1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
抱歉是第一题38.5²-36.5² 第二题(2x-3y-1)(2x+3y+1)第三题(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)第四题2003^2-3001^2
抱歉是第一题38.5²-36.5² 第二题(2x-3y-1)(2x+3y+1)第三题(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)第四题2003^2-3001^2
1.
38.5^2-36.5^2
=(38.5+36.5)(38.5-36.5)
=75*2
=150
2.
(2x-3y-1)(2x+3y+1)
=[2x-(3y+1)][2x+(3y+1)]
=4x^2-(3y+1)^2
=4x^2-(9y^2+6y+1)
=4x^2-9y^2-6y-1
3.
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^4-1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^8-1)(3^8+1)(3^16+1)
=(1/2)(3^16-1)(3^16+1)
=(1/2)(3^32-1)
=3^32/2-1/2
38.5^2-36.5^2
=(38.5+36.5)(38.5-36.5)
=75*2
=150
2.
(2x-3y-1)(2x+3y+1)
=[2x-(3y+1)][2x+(3y+1)]
=4x^2-(3y+1)^2
=4x^2-(9y^2+6y+1)
=4x^2-9y^2-6y-1
3.
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^4-1)(3^4+1)(3^8+1)(3^16+1)
=(1/2)(3^8-1)(3^8+1)(3^16+1)
=(1/2)(3^16-1)(3^16+1)
=(1/2)(3^32-1)
=3^32/2-1/2
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