3x^2+11x+10因式分解
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3x^2+11x+10因式分解
(x^2+3x+2)(x^2+7+12)-120
5x^2-6xy-8y^2
(x^2+3x+2)(x^2+7+12)-120
5x^2-6xy-8y^2
![3x^2+11x+10因式分解](/uploads/image/z/2724250-58-0.jpg?t=3x%5E2%2B11x%2B10%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
3x^2+11x+10
=(3x+5)(x+2)
(x^2+3x+2)(x^2+7+12)-120
=(x+1)(x+2)(x+3)(x+4)-120
=(X^2+5x+4)(x^2+5x+6)-120
=(X^2+5x+4)^2+2(X^2+5x+4)-120
=(X^2+5x+4+12)(X^2+5x+4-10)
=(X^2+5x+16)(X^2+5x-6)
=(x-1)(x+6)(X^2+5x+16)
5x^2-6xy-8y^2
=(5x+4y)(x-2y)
=(3x+5)(x+2)
(x^2+3x+2)(x^2+7+12)-120
=(x+1)(x+2)(x+3)(x+4)-120
=(X^2+5x+4)(x^2+5x+6)-120
=(X^2+5x+4)^2+2(X^2+5x+4)-120
=(X^2+5x+4+12)(X^2+5x+4-10)
=(X^2+5x+16)(X^2+5x-6)
=(x-1)(x+6)(X^2+5x+16)
5x^2-6xy-8y^2
=(5x+4y)(x-2y)