分解因式:49+14x+x2-y2=______.?
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解题思路:当被分解的式子是四项时,应考虑运用分组分解法进行分解.本题中前三项正好符合完全平方式的公式,应考虑三一分组,然后再运用平方差公式进行二次分解.
49+14x+x2-y2,
=(49+14x+x2)-y2,
=(x+7)2-y2,
=(x+y+7)(x-y+7).
,8,49+14x+x²-y²
=(x+7)^2-y^2
=(x+7+y)(X+7-Y)
=(X+Y+7)(X-Y+7),2,49+14x+x平方-y平方
=(x+7)^2-y^2
=(x+y+7)(x-y+7),1,分解因式:
49+14x+x平方-y平方
=(7+x)^2-y^2
=(7+x+y)(7+x-y),1,49+14x+x²-y²
=(7+x)²-y²
=(x+y+7)(x-y+7),0,
49+14x+x2-y2,
=(49+14x+x2)-y2,
=(x+7)2-y2,
=(x+y+7)(x-y+7).
,8,49+14x+x²-y²
=(x+7)^2-y^2
=(x+7+y)(X+7-Y)
=(X+Y+7)(X-Y+7),2,49+14x+x平方-y平方
=(x+7)^2-y^2
=(x+y+7)(x-y+7),1,分解因式:
49+14x+x平方-y平方
=(7+x)^2-y^2
=(7+x+y)(7+x-y),1,49+14x+x²-y²
=(7+x)²-y²
=(x+y+7)(x-y+7),0,
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