初一数学要详细过程
1.计算:(a-2b)²(a+2b)²2.计算:(2x-3y)²(2x+3y)²3.若x²-2x+y²+6y+...
1.计算:(a-2b)²(a+2b)² 2.计算:(2x-3y)²(2x+3y)² 3.若x²-2x+y²+6y+10=0,求x和y的值
4.计算:(x/2-y)²-1/4(x²-y²) 展开
4.计算:(x/2-y)²-1/4(x²-y²) 展开
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(a-2b)²(a+2b)²
=[(a-2b)(a+2b)]²
=(a²-4b²)²
=a^4-8a²b²+16b^4
(2x-3y)²(2x+3y)²
=[(2x-3y)(2x+3y)]²
=(4x² -9y² )²
=16x^4-72x²y² +81y^4
3.若x²-2x+y²+6y+10=0,求x和y的值
x²-2x+y²+6y+10=0
x²-2x+1+y²+6y+9=0
(x-1)²+(y+3)²=0
(x-1)²=0,(y+3)²=0
x=1
y=-3
(x/2-y)²-1/4(x²-y²)
=x²/4-xy+y²-x²/4+y²/4
=-xy+5y²/4
=[(a-2b)(a+2b)]²
=(a²-4b²)²
=a^4-8a²b²+16b^4
(2x-3y)²(2x+3y)²
=[(2x-3y)(2x+3y)]²
=(4x² -9y² )²
=16x^4-72x²y² +81y^4
3.若x²-2x+y²+6y+10=0,求x和y的值
x²-2x+y²+6y+10=0
x²-2x+1+y²+6y+9=0
(x-1)²+(y+3)²=0
(x-1)²=0,(y+3)²=0
x=1
y=-3
(x/2-y)²-1/4(x²-y²)
=x²/4-xy+y²-x²/4+y²/4
=-xy+5y²/4
追问
一定正确吗
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追答
正确
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