Question

РОЗКЛАСТИ НА МНОЖНИКИ МНОГОЧЛЕН❤️❤️

Answer 1

$\displaystyle\bf\\1)\\\\100-9x^{2} =10^{2}-(3x)^{2} =(10-3x)\cdot(10+3x)\\\\2)\\\\4a^{2}+20ab+25b^{2} =(2a)^{2} +2\cdot 2a\cdot 5b+(5b)^{2} =\\\\=(2a+5b)^{2} =(2a+5b)\cdot(2a+5b)\\\\3)\\\\\frac{1}{4}m^{2}-m+1=\Big(\frac{1}{2} m\Big)^{2}-2\cdot \frac{1}{2} m\cdot +1^{2}=\\\\=\Big(\frac{1}{2} m-1\Big)^{2} =\Big(\frac{1}{2} m-1\Big)\cdot \Big(\frac{1}{2} m-1\Big)\\\\4)\\\\x^{3} -1=x^{3}-1^{3} =(x-1)\cdot(x^{2} +x+1)\\\\5)$

$\displaystyle\bf\\8+m^{6} =2^{3}+(m^{2})^{3} =(2+m^{2} )\cdot(4-2m^{2} +m^{4} ) \\\\6)\\\\-0,25y^{4}+49=49-0,25y^{4}=7^{2} -(0,5y^{2})^{2}=\\\\=(7-0,5y^{2} )\cdot (7+0,5y^{2})$