因式分解:①4a^2*x^2-8a^2*x+4a^2 ②4x^3+4x^2+x ③4a(x+3y)^2+12a(x+3y)+9a

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因式分解:①4a^2*x^2-8a^2*x+4a^2②4x^3+4x^2+x③4a(x+3y)^2+12a(x+3y)+9a因式分解:①4a^2*x^2-8a^2*x+4a^2②4x^3+4x^2+x

因式分解:①4a^2*x^2-8a^2*x+4a^2 ②4x^3+4x^2+x ③4a(x+3y)^2+12a(x+3y)+9a
因式分解:①4a^2*x^2-8a^2*x+4a^2 ②4x^3+4x^2+x ③4a(x+3y)^2+12a(x+3y)+9a

因式分解:①4a^2*x^2-8a^2*x+4a^2 ②4x^3+4x^2+x ③4a(x+3y)^2+12a(x+3y)+9a
①4a²x²-8a²x+4a²
=4a²(x²-2x+1)
=4a²(x-1)²
②4x³+4x²+x
=x(4x²+4x+1)
=x(2x+1)²
③4a(x+3y)²+12a(x+3y)+9a
=a[4(x+3y)²+12(x+3y)+9]
=a[2(x+3y)+3]²
=a(2x+6y+3)²
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  ①原式=4a^2(x^2-2x+1)=4a^2(x-1)^2
  ②原式=x(4x^2+4x+ 1)=x(2x+1)^2
  ③原式=a【4(x+3y)²+12(x+3y)+9】= a【2(x+3y)+3】²= a(2x+6y+3)²