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Judge whether the following equation has integer solution: 1) 2x-4y = 81; 2) 5x + 10Y = 24
No,
Change the formula to x = or y =
You can see that
（1）X=(4y+81）/2
If x is an integer, 4Y + 81 must be divisible by 2
81 has to be an odd number, but y has to be a fraction
4Y is odd
(2) In the same way
Factorization: X (x-20) + 64=
Original formula = x & # 178; - 20x + 64
=(x-4)(x-16)
How to factorize x ^ 3-64
And a ^ 3 + 8b ^ 3 = (a + 2b) (_____ )
Factorization
2x^2-x-6
2x^2-5xy-3y^2
x^3-64
Using the formula of cubic difference
=(x-4)(x^2+4x+16)
a^3+8b^3=(a+2b)(a^2-2ab+4b^2)
2x^2-x-6=(2x+3)(x-2)
2x^2-5xy-3y^2=(2x+y)(x-3y)
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