Сократите дробь: [latex] \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } [/latex] ,[latex] \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } \frac{9(a+b) ^{2} }{18(a+b} [/latex] [latex]1) \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } = 2) \frac{9(a+b) ^...
Сократите дробь:
[latex] \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } [/latex] ,[latex] \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } \frac{9(a+b) ^{2} }{18(a+b} [/latex] [latex]1) \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } = 2) \frac{9(a+b) ^{2} }{18(a+b}= 3) \frac{ a^{2} - 100}{a+10} = 4) \frac{ b^{2} -49}{b-7} =5) \frac{a ^{2} +2ab+b}{5a(a+b) ^{2} } =[/latex].
Вычислить:*[latex]1) \sqrt{27} * \sqrt{48} =2) \frac{1}{7} * \sqrt{0,49} = 3) \frac{ 3^{-5} *3}{ 3^{-6} } = [/latex]
Решите уравнения: [latex] x^{2} = 3[/latex]
Ответ(ы) на вопрос:
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1) [latex] \frac{9 x^{2} y^{3} }{12 x^{4} y^{2} } = \frac{3*3 x^{2} y^{3} }{3*4 x^{4} y^{2} } = \frac{3 y}{4 x^{2} } [/latex]
2) [latex] \frac{9 (a+b)^{2}}{18(a+b)}= \frac{9(a+b)(a+b)}{9*2(a+b)}= \frac{a+b}{2} [/latex]
3) [latex] \frac{ a^{2}-100}{a+10}= \frac{(a+10)(a-10)}{a+10} = a-10[/latex]
4) [latex] \frac{ b^{2} -49}{b-7}= \frac{(b+7)(b-7)}{b-7}=b+7 [/latex]
5) [latex] \frac{ a^{2} +2ab+b^{2}}{5a(a+b)^{2} } =\frac{ a^{2} +2ab+ b^{2}}{5a( a^{2}+2ab+ b^{2})}= \frac{1}{5a} [/latex]
6) [latex] \sqrt{27} * \sqrt{48} = \sqrt{27*48}= \sqrt{1296}=36 [/latex]
7) [latex] \frac{1}{7} * \sqrt{0,49} = \frac{1}{7} * 0,49^{ \frac{1}{2}} = \frac{1}{7} *0,7= \frac{1}{7} * \frac{7}{10}= \frac{1}{10} [/latex]
8) [latex] \frac{3^{-5} *3}{3^{-6} }=3^{-5+4+6} = 3^{5} =243[/latex]
9) [latex] x^{2}=3 [/latex]
x=[latex] \sqrt{3} [/latex]
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