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受欢迎的代数 >

化简 49(2x+3y)^2-70(4x^2-9y^2)+25(2x-3y)^2

解答

化简

49 \cdot (2 x + 3 y)^{2} - 70 (4 x^{2} - 9 y^{2}) + 25 \cdot (2 x - 3 y)^{2}

解答

16 x^{2} + 288 x y + 1296 y^{2}

求解步骤

49 (2 x + 3 y)^{2} - 70 (4 x^{2} - 9 y^{2}) + 25 (2 x - 3 y)^{2}

展开

49 (2 x + 3 y)^{2} : 196 x^{2} + 588 x y + 441 y^{2}

= 196 x^{2} + 588 x y + 441 y^{2} - 70 (4 x^{2} - 9 y^{2}) + 25 (2 x - 3 y)^{2}

展开

- 70 (4 x^{2} - 9 y^{2}) : - 280 x^{2} + 630 y^{2}

= 196 x^{2} + 588 x y + 441 y^{2} - 280 x^{2} + 630 y^{2} + 25 (2 x - 3 y)^{2}

展开

25 (2 x - 3 y)^{2} : 100 x^{2} - 300 x y + 225 y^{2}

= 196 x^{2} + 588 x y + 441 y^{2} - 280 x^{2} + 630 y^{2} + 100 x^{2} - 300 x y + 225 y^{2}

对同类项分组

= 196 x^{2} - 280 x^{2} + 100 x^{2} + 588 x y - 300 x y + 441 y^{2} + 630 y^{2} + 225 y^{2}

同类项相加:

196 x^{2} - 280 x^{2} + 100 x^{2} = 16 x^{2}

= 16 x^{2} + 588 x y - 300 x y + 441 y^{2} + 630 y^{2} + 225 y^{2}

同类项相加:

588 x y - 300 x y = 288 x y

= 16 x^{2} + 288 x y + 441 y^{2} + 630 y^{2} + 225 y^{2}

同类项相加:

441 y^{2} + 630 y^{2} + 225 y^{2} = 1296 y^{2}

= 16 x^{2} + 288 x y + 1296 y^{2}

流行的例子

化简 (x-1)(x+3)-(((2x-2))/((x+2)))

s im pl i f y (x - 1) (x + 3) - (\frac{( 2 x - 2 )}{( x + 2 )})

化简 ((a^3))/(((a-b)(a-c)))+((b^3))/(((b-a)(b-c)))+((c^3))/(((c-a)(c-b)))

s im pl i f y \frac{( a ^{3} )}{( ( a - b ) ( a - c ) )} + \frac{( b ^{3} )}{( ( b - a ) ( b - c ) )} + \frac{( c ^{3} )}{( ( c - a ) ( c - b ) )}

因式分解 x^6-15625

f a c t or x^{6} - 15625

展开 (b^{x+1}-3)(b^{x+1}-1)

e x p an d (b^{x + 1} - 3) (b^{x + 1} - 1)

化简 n+1+(-2)n

s im pl i f y n + 1 + (- 2) n