а)16ab²+5b²c+10c³+32ac²=(16ab²+32ac²)+(5b²c+10c³)= 16a(b²+2c²)+5c(b²+2c²)= (b²+2c²)(16a+5c).
b)20n²-35a-14an+50n= (20n²-14an)+(50n-35a)=2n(10n-7a)+5(10n-7a)= (10n-7a)(2n+5).
c)18a²+27ab+14ac+21bc= (18a²+27ab)+(14ac+21bc)= 9a(2a+3b)+7c(2a+3b)= (2a+3b)×(9a+7c).
d)2x²yz-15yz-3xz²+10xy²= (2x²yz+10xy²) -(15yz+3xz²)= 2xy(xz+5y) - 3z(5y+xz)= (xz+5y)×(2xy-3z).
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Answers & Comments
а)16ab²+5b²c+10c³+32ac²=(16ab²+32ac²)+(5b²c+10c³)= 16a(b²+2c²)+5c(b²+2c²)= (b²+2c²)(16a+5c).
b)20n²-35a-14an+50n= (20n²-14an)+(50n-35a)=2n(10n-7a)+5(10n-7a)= (10n-7a)(2n+5).
c)18a²+27ab+14ac+21bc= (18a²+27ab)+(14ac+21bc)= 9a(2a+3b)+7c(2a+3b)= (2a+3b)×(9a+7c).
d)2x²yz-15yz-3xz²+10xy²= (2x²yz+10xy²) -(15yz+3xz²)= 2xy(xz+5y) - 3z(5y+xz)= (xz+5y)×(2xy-3z).