Question

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Answer 1

Ответ:

Объяснение:

$45. 1)\frac{a}{4a+b}=\frac{3*a}{3*(4a+b)}=\frac{3a}{12a+3b};$

$2)\frac{1}{x-4y}=\frac{1*(x+4y)}{(x-4y)*(x+4y)}=\frac{x+4y}{x^{2}-16y^{2}};$

$3)\frac{2x}{5x+y}=\frac{2x*(5x+y)}{(5x+y)*(5x+y)}=\frac{2x*(5x+y)}{(5x+y)^{2}}=\frac{10x^{2}+2xy}{25x^{2}+10xy+y2};$

$4)\frac{4b}{2-3b}=\frac{4b*(2-3b)}{(2-3b)*(2-3b)}=\frac{4b*(2-3b)}{(2-3b)^{2}}=\frac{8b-12b^{2}}{4-12b+9b^{2}};$

$46. 1)\frac{x}{x+y};\frac{4y}{(x+y)^{2}};$  $1)\frac{x(x+y)}{(x+y)^{2}};\frac{4y}{(x+y)^{2}};$  $1)\frac{x^{2}+xy}{(x+y)^{2}};\frac{4y}{(x+y)^{2}};$

$2)\frac{a}{b+3};\frac{c}{(b-3)(b+3)};$  $2)\frac{a(b-3)}{(b+3)(b-3)};\frac{c}{(b-3)(b+3)};$  $2)\frac{ab-3a}{b^{2}-9};\frac{c}{b^{2}-9};$

$3)\frac{x(x+7y)}{(x-7y)(x+7y)};\frac{2x(x-7y)}{(x-7y)(x+7y)};$  $3) \frac{x^{2}+7xy}{x^{2}-49y^{2}}; \frac{2x^{2}-14xy}{x^{2}-49y^{2}};$

$4) \frac{y^{2}}{(y-8)(y+8)}; \frac{-y}{y-8};$  $4) \frac{y^{2}}{(y-8)(y+8)}; \frac{-y(y+8)}{(y-8)(y+8)};$  $4) \frac{y^{2}}{y^{2}-64}; \frac{-y^{2}-8y}{y^{2}-64};$

$47. 1) \frac{x^{2}-36}{x-6}=\frac{(x-6)(x+6)}{x-6}=x+6;$

$2) \frac{a^{2}-4}{(a+2)^{2}}=\frac{(a-2)(a+2)}{(a+2)(a+2)}=\frac{a-2}{a+2};$

$3) \frac{c^{2}+40c+400}{c+20}=\frac{(c+20)^{2}}{c+20}=c+20;$

$4) \frac{x-5+12}{x^{2}-49}=\frac{x+7}{(x+7)(x-7)}=\frac{1}{x-7};$