用完全平方公式分解下列因式:
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发布时间:2022-10-16 19:29
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热心网友
时间:2023-10-22 21:27
(1)x^2+x+1/4
=(x+1/2)²
(2)25x^2+20xy+4y^2
=(5x+2y)²
(3)a^3-10a^2+25a
=a(a²-10a+25)
=a(a-5)²
(4)(x^2+4y^2)^2-16x^2y^2
=(x²+4y²-4xy)(x²+4y²+4xy)
=(x-2y)²(x+2y)²
热心网友
时间:2023-10-22 21:27
(1)x^2+x+1/4=(x+1/2)²
(2)25x^2+20xy+4y^2=(5x+2y)²
(3)a^3-10a^2+25a=a(a²-10a+25)=a(a-5)²
(4)(x^2+4y^2)^2-16x^2y^2=(x²-4y²)²=(x+2y)²(x-2y)²
热心网友
时间:2023-10-22 21:28
(1)x^2+x+1/4=(x+1/2)^2
(2)25x^2+20xy+4y^2=(5x+2y)^2
(3)a^3-10a^2+25a=a(a-5)^2
(4)(x^2+4y^2)^2-16x^2y^2=(x^2+4y^2+4xy)(x^2+4y^2-4xy)=(x+2y)^2(x-2y)^2
热心网友
时间:2023-10-22 21:28
(1)x^2+x+1/4 =(x+1/2)^2
(2)25x^2+20xy+4y^2 =(5x+2y)^2
(3)a^3-10a^2+25a =a(a^2-10a+25)=a(a-5)^2
(4)(x^2+4y^2)^2-16x^2y^2 =(x^2+4y^2+4xy)(x^2+4y^2-4xy)=(x+2y)^2(x-2y)^2