x与y的差或和的平方怎么算 x与y的和与差的乘积等于x的平方与y的平方之差,列式为___...
x+y+b\u7684\u548c\u7684\u5e73\u65b9\u6216x+y-b\u7684\u5dee\u7684\u5e73\u65b9\u8be5\u5982\u4f55\u8ba1\u7b97\uff0c\u8bf7\u5217\u51fa\u8be6\u7ec6\u8bf4\u660e\u8981\u6709\u6587\u5b57\uff08x+y+b\uff09²
=\uff08x+y\uff09²+2b\uff08x+y\uff09+b²
=x²+2xy+y²+2bx+2by+b²
\uff08x+y-b\uff09²
=\uff08x+y\uff09²-2b\uff08x+y\uff09+b²
=x²+2xy+y²-2bx-2by+b²
(x+y)(x-y)=x²-y²
(x-y)²=x²-2xy+y²,(x+y)²=x²+2xy+y²。
(x-y)²
=(x-y)(x-y)
=x²-2xy+y²
(x+y)²
=(x+y)(x+y)
=x²+2xy+y²
扩展资料:
其他公式:
1、平方差公式:a²-b²=(a+b)(a-b)。
2、(a+b)³=a³+3a²b+3ab²+b³
3、a³+b³=a³+a²b-a²b+b³
=a²(a+b)-b(a²-b²)
=a²(a+b)-b(a+b)(a-b)
=(a+b)[a²-b(a-b)]
=(a+b)(a²-ab+b²)
4、a³-b³=a³-a²b+a²b-b³
=a²(a-b)+b(a²-b²)
=a²(a-b)+b(a+b)(a-b)
=(a-b)[a²+b(a+b)]
=(a-b)(a²+ab+b²)
这位朋友那就直接用平方公式,先算算x与y的差的平方(x-y)²=x²-2xy+y²,接着就是x与y的和的平方(x+y)²=x²+2xy+y²
绛旓細=x²+2xy+y²
绛旓細鏍瑰彿涓x鐨勫钩鏂涓巠鐨骞虫柟鐨鍜岀殑骞虫柟鍑忓幓x鐨勫钩鏂逛笌y鐨勫钩鏂鐨勫樊鐨勫钩鏂 =鏍瑰彿涓(x^4+y^4+2*x^2*y^2-x^4-y^4+2*x^2*y^2)=鏍瑰彿涓(4*x^2*y^2)=2*(x*y)鐨勭粷瀵瑰.
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绛旓細x,y鐨勫钩鏂圭殑鍜屼笌x,y鐨勫樊鐨勫钩鏂鐨勭Н锛氾箼x²锕²锕氾箼x-y锕²
绛旓細(x + y)²= (x + y)(x + y)= x路x + x路y + y路x + y路y= x² + 2xy + y²
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