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受欢迎的代数 >

化简 (3x-2y)^2-(2x-3y)^2

解答

化简

(3 x - 2 y)^{2} - (2 x - 3 y)^{2}

解答

5 x^{2} - 5 y^{2}

求解步骤

(3 x - 2 y)^{2} - (2 x - 3 y)^{2}

展开

(3 x - 2 y)^{2} : 9 x^{2} - 12 x y + 4 y^{2}

= 9 x^{2} - 12 x y + 4 y^{2} - (2 x - 3 y)^{2}

展开

- (2 x - 3 y)^{2} : - 4 x^{2} + 12 x y - 9 y^{2}

= 9 x^{2} - 12 x y + 4 y^{2} - 4 x^{2} + 12 x y - 9 y^{2}

对同类项分组

= 9 x^{2} - 4 x^{2} - 12 x y + 12 x y + 4 y^{2} - 9 y^{2}

同类项相加:

9 x^{2} - 4 x^{2} = 5 x^{2}

= 5 x^{2} - 12 x y + 12 x y + 4 y^{2} - 9 y^{2}

同类项相加:

- 12 x y + 12 x y = 0

= 5 x^{2} + 4 y^{2} - 9 y^{2}

同类项相加:

4 y^{2} - 9 y^{2} = - 5 y^{2}

= 5 x^{2} - 5 y^{2}

流行的例子

6 + 2 n = 3

119-0.16*28*9.8=28*x

119 - 0.16 \cdot 28 \cdot 9.8 = 28 \cdot x

化简 1/2*12*5

s im pl i f y \frac{1}{2} \cdot 12 \cdot 5

化简 8/20*100

s im pl i f y \frac{8}{20} \cdot 100

\frac{1}{2} x = \frac{π}{4}