دانلود اپلیکیشن
1 عبارت های جبری زیر را ساده و سپس آنها را نسبت به توان های نزولی x مرتب کنید.
\( - 5{a^2} - 3ax + {x^2} - (4{x^2} + 5ax - 3{a^2}) = \) الف
\( - 5{a^2} - 3ax + {x^2} - \left[ {4{a^2} + 5ax - (3{a^2} - 8ax)} \right] = \) ب
\((4x + 5{x^2})({x^3} - x + 1) = \) ج
\((x + {x^2})({x^4} + {x^2} + 1) = \) د
\(({x^2} - 2x + 1)({x^2} + {x^3} - 2) = \) هـ
الف
\(\begin{array}{l} - 5{a^2} - 3ax + {x^2} - (4{x^2} + 5ax - 3{a^2}) = \\\\ - 2{a^2} - 8ax - 3{x^2}\end{array}\)
ب
\(\begin{array}{l} - 5{a^2} - 3ax + {x^2} - \left[ {4{a^2} + 5ax - (3{a^2} - 8ax)} \right] = \\\\5{a^2} - 3ax + {x^2} - 4{a^2} - 5ax + 3{a^2} - 8ax = \\\\{x^2} - 16ax - 6{a^2}\end{array}\)
ج
\(\begin{array}{l}(4x + 5{x^2})({x^3} - x + 1) = \\\\4{x^4} - 4{x^2} + 4x + 5{x^5} - 5{x^3} + 5{x^2} = \\\\5{x^5} + 4{x^3} - 5{x^3} + {x^2} + 4x\end{array}\)
د
\(\begin{array}{l}(x + {x^2})({x^4} + {x^2} + 1) = \\\\{x^6} + {x^5} + {x^4} + {x^3} + {x^2} + x\end{array}\)
هـ
\(\begin{array}{l}({x^2} - 2x + 1)({x^2} + {x^3} - 2) = \\\\{x^5} - {x^4} - {x^3} - {x^2} + 4x - 2\end{array}\)
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