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受欢迎的代数 >

化简 (2x+p-c)^2-(2x-p+c)^2

解答

化简

(2 x + p - c)^{2} - (2 x - p + c)^{2}

解答

8 x p - 8 x c

求解步骤

(2 x + p - c)^{2} - (2 x - p + c)^{2}

展开

(2 x + p - c)^{2} : 4 x^{2} - 2 p c + 4 x p - 4 x c + p^{2} + c^{2}

= 4 x^{2} - 2 p c + 4 x p - 4 x c + p^{2} + c^{2} - (2 x - p + c)^{2}

展开

- (2 x - p + c)^{2} : - 4 x^{2} + 2 p c + 4 x p - 4 x c - p^{2} - c^{2}

= 4 x^{2} - 2 p c + 4 x p - 4 x c + p^{2} + c^{2} - 4 x^{2} + 2 p c + 4 x p - 4 x c - p^{2} - c^{2}

对同类项分组

= 4 x^{2} - 4 x^{2} - 2 p c + 2 p c + 4 x p + 4 x p - 4 x c - 4 x c + p^{2} - p^{2} + c^{2} - c^{2}

同类项相加:

4 x^{2} - 4 x^{2} = 0

= - 2 p c + 2 p c + 4 x p + 4 x p - 4 x c - 4 x c + p^{2} - p^{2} + c^{2} - c^{2}

同类项相加:

- 2 p c + 2 p c = 0

= 4 x p + 4 x p - 4 x c - 4 x c + p^{2} - p^{2} + c^{2} - c^{2}

同类项相加:

4 x p + 4 x p = 8 x p

= 8 x p - 4 x c - 4 x c + p^{2} - p^{2} + c^{2} - c^{2}

同类项相加:

- 4 x c - 4 x c = - 8 x c

= 8 x p - 8 x c + p^{2} - p^{2} + c^{2} - c^{2}

同类项相加:

p^{2} - p^{2} = 0

= 8 x p - 8 x c + c^{2} - c^{2}

同类项相加:

c^{2} - c^{2} = 0

= 8 x p - 8 x c

流行的例子

化简 aa+30-10

s im pl i f y aa + 30 - 10

化简 ((42a*b^4*c^4))/((21a^8*b^2*c^3))

s im pl i f y \frac{( 42 a \cdot b ^{4} \cdot c ^{4} )}{( 21 a ^{8} \cdot b ^{2} \cdot c ^{3} )}

化简 (t^{-1})/2

s im pl i f y \frac{t ^{- 1}}{2}

化简 2-930h^9-8.002

s im pl i f y 2 - 930 h^{9} - 8.002

化简 (1/((x+1)))^3-3x+sin(x)

s im pl i f y (\frac{1}{( x + 1 )})^{3} - 3 x + sin (x)