giúp minh nhe cẻm un
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Bài 5:
a: \(f\left(x\right)=4x^4-x^3-4x^2+x-1\)
\(g\left(x\right)=x^4+4x^3+x-5\)
b: \(f\left(x\right)-g\left(x\right)=4x^4-x^3-4x^2+x-1-x^4-4x^3-x+5\)
\(=3x^4-5x^3-4x^2+4\)
\(f\left(x\right)+g\left(x\right)=4x^4-x^3-4x^2+x-1+x^4+4x^3+x-5\)
\(=5x^4+3x^3-4x^2+2x-6\)
\(\dfrac{5^4.20^4}{25^5.4^5}=\dfrac{5^4.5^44^4}{5^4.5.5^4.5.4^4.4}=\dfrac{5^8.4^4}{5^4.5^4.5.5.4^4.4.4.}=\dfrac{5^8.4^4}{5^8.5^2.4^4.4}\)\(=\dfrac{1}{5^2.4}=\dfrac{1}{100}=0,01\)
c)
\(\dfrac{5^4.20^4}{25^5.4^5}\)
\(=\dfrac{5^4.\left(5.4\right)^4}{\left(5^2\right)^5.\left(2^2\right)^5}\)
\(=\dfrac{5^4.5^4.4^4}{5^{10}.2^{10}}\)
\(=\dfrac{5^8.\left(2^2\right)^4}{5^{10}.2^{10}}\)
\(=\dfrac{5^8.2^8}{5^{10}.2^{10}}\)
\(=\dfrac{1}{5^2.2^2}\)
\(=\dfrac{1}{25.4}\)
\(=\dfrac{1}{100}\)
Bài 8:
a: Ta có: \(35⋮x+3\)
\(\Leftrightarrow x+3\in\left\{5;7;35\right\}\)
hay \(x\in\left\{2;4;32\right\}\)
b: Ta có: \(10⋮2x+1\)
\(\Leftrightarrow2x+1\in\left\{1;5\right\}\)
hay \(x\in\left\{0;2\right\}\)
Bài 1:
a: Xét ΔAMB và ΔAMC có
AM chung
AB=AC
BM=CM
Do đó: ΔABM=ΔACM
Đặt 20212020=x
=>\(A=\dfrac{3\left(x+1\right)\left(x+3\right)-5x-2\cdot\left(x+1\right)^2-5}{\left(x+1\right)}\)
\(=\dfrac{3\left(x^2+4x+3\right)-5x-2x^2-4x-2-5}{\left(x+1\right)}\)
\(=\dfrac{3x^2+12x+9-2x^2-9x-7}{x+1}=\dfrac{x^2+3x+2}{x+1}=x+2\)
=20212022