X的平方+4X+2的三种配方,写清楚

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X的平方+4X+2的三种配方,写清楚X的平方+4X+2的三种配方,写清楚X的平方+4X+2的三种配方,写清楚x²+4x+2=2x²+4x+2-x²=2(x+1)²

X的平方+4X+2的三种配方,写清楚
X的平方+4X+2的三种配方,写清楚

X的平方+4X+2的三种配方,写清楚
x²+4x+2
= 2x²+4x+2-x²
=2(x+1)²-x²
x²+4x+2
=x²+4x+4-2
=(x+2)²-2
x²+4x+2
=x²+2x+1+2x+1
=(x+1)²+2x+2-1
=(x+1)²+2(x+1)-1
=(x+1)(x+1+2)-1
=(x+1)(x+3)-1

X的平方+4X+2
2x²+4x+2-x²
=2(x+1)²-x²

x²+4x+4-2
=(x+2)²-2
x²+2x+1+2x+1
=(x+1)²+2x+2-1
=(x+1)²+2(x+1)-1
=(x+1)(x+1+2)-1
=(x+1)(x+3)-1

一楼第一个做错了

=x^2 + 2x + 2x + 1 + 2 -1
= (x+1)^2 + 2(x+1) - 1
= (x+1)(x+1+1)-1
=(x+1)(x+2)-1
=x^2 + 4x + 4 - 4 +2
=(x+2)^2 -2
= x^2 + 2x + 2x + 2
= x(x+2) + 2x + 4 -4 + 2
=x(x+2) + 2(x+2) -2
=(x+2)(x+2)-2
=(x+2)^2 -2