Разложите ** множители 6a^2b^2-600a^2c^2 и 7a^2-28ab+28b^2

Question

Разложите на множители 6a^2b^2-600a^2c^2 и 7a^2-28ab+28b^2

Answer 1

6A^2B^2 - 600A^2C^2 = 6A^2 * ( B^2 - 100C^2 ) =
 = 6A^2 * ( B - 10C ) * ( B + 10C )
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7A^2 - 28AB + 28B^2 = 7 * ( A^2 - 4AB + 4B^2 ) = 
= 7 * ( A - 2B ) * ( A - 2B ) 

Answer 2

6a²b²-600a²c²=6a²(b²-100c²)=6a²(b-10c)(b+10c)

7a²-28ab+28b²=7(a²-4ab+4b²)=7(a-2b)²