【(5x+3y)(3x+2y)+(x+3y)(x-2y)】÷(4x)其中,x=3,y=-2,化简求值.
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【(5x+3y)(3x+2y)+(x+3y)(x-2y)】÷(4x)其中,x=3,y=-2,化简求值.
【(5x+3y)(3x+2y)+(x+3y)(x-2y)】÷(4x)
={[(x+3y)+4x](3x+2y)+(x+3y)(x-2y)}÷(4x)
=[(x+3y)(3x+2y)+4x(3x+2y)+(x+3y)(x-2y)】÷(4x)
=[(x+3y)(3x+2y+x-2y)+4x(3x+2y)]÷(4x)
=[4x(x+3y)+4x(3x+2y)]÷(4x)
=4x(x+3y+3x+2y)÷(4x)
=4x+5y
再把x=3,y=-2代入
原式=4x+5y
=4×3+5×(﹣2)
=2
={[(x+3y)+4x](3x+2y)+(x+3y)(x-2y)}÷(4x)
=[(x+3y)(3x+2y)+4x(3x+2y)+(x+3y)(x-2y)】÷(4x)
=[(x+3y)(3x+2y+x-2y)+4x(3x+2y)]÷(4x)
=[4x(x+3y)+4x(3x+2y)]÷(4x)
=4x(x+3y+3x+2y)÷(4x)
=4x+5y
再把x=3,y=-2代入
原式=4x+5y
=4×3+5×(﹣2)
=2
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