因式分解,求步骤!!!!
3个回答
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(1): (x+y+z)^2-(x-y-z)^2=[(x+y+z)+(x-y-z)][(x+y+z)-(x-y-z)]=2x*(2y+2z)=4x(y+z)
(2): (x+y)^2-14(x+y)+49=[(x+y)-7]^2=(x+y-7)^2
(3): 9+6(a+b)+(a+b)^2=[3+(a+b)]^2=(3+a+b)^2
(4): x^2-xy+1/4y^2=x^2-xy+(1/2y)^2=(x-1/2y)^2
(5): a^4-8a^2b^2+16b^4=(a^2-4b^2)^2=[(a+2b)(2-2b)]^2=(a+2b)^2(a-2b)^2
请熟记各公式,并学会灵活应用
(2): (x+y)^2-14(x+y)+49=[(x+y)-7]^2=(x+y-7)^2
(3): 9+6(a+b)+(a+b)^2=[3+(a+b)]^2=(3+a+b)^2
(4): x^2-xy+1/4y^2=x^2-xy+(1/2y)^2=(x-1/2y)^2
(5): a^4-8a^2b^2+16b^4=(a^2-4b^2)^2=[(a+2b)(2-2b)]^2=(a+2b)^2(a-2b)^2
请熟记各公式,并学会灵活应用
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