Question

разложите на множители:1)а^2-49 2)64-b^2 3)c^2-2,25 4)2,89-d^2 5)64/81-x^2 6)100/121-y^2 7)z^2-169/196 8)t^2-400/441 9)25x^2-36 10)-16+49y^2 11)0,64-1/9z^2 12)4/25t^2-36

Answer 1

$\boxed{a^2-b^2=(a+b)(a-b)}\\\\a^2-49=(a-7)(a+7)\\\\64-b^2=(8-b)(8+b)\\\\c^2-2,25=(c-1,5)(c+1,5)\\\\2,89-d^2=(1,7-d)(1,7+d)\\\\\frac{64}{81}-x^2=(\frac{8}{9}-x)(\frac{8}{9}+x)\\\\ \frac{100}{121}-y^2=(\frac{10}{11}-y)(\frac{10}{11}+y)\\\\ z^2-\frac{169}{196}=(z-\frac{13}{14})(z+\frac{13}{14})\\\\t^2-\frac{400}{441}=(t-\frac{20}{21})(t+\frac{20}{21})\\\\ 25x^2-36=(5x-6)(5x+6)\\\\ -16+49y^2=(7y-4)(7y+4)\\\\ 0,64-\frac{1}{9}z^2=(0,8-\frac{1}{3}z)(0,8+\frac{1}{3}z)\\\\ \frac{4}{25}t^2-36=(\frac{2}{5}t-6)(\frac{2}{5}t+6)$