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cho mik hỏi bạn cần đề toán hình hay toán đại
a)999x1001=(1000-1)(1000+1)=10002-12=1000000-1=999999
b)bạn viết đúng đề câu b k thế?
a) \(\left(x+2y\right)^2=x^2+2.x.2y+\left(2y\right)^2=x^2+4xy+4y^2\)
b) \(\left(3-x\right).\left(3+x\right)=9+3x-3x-x^2=9-x^2=3^2-x^2\)
c) \(\left(5-x\right)^2=5^2-2.5.x+x^2=25-10x+x^2\)
d) \(\left(3+y\right)^2=3^2+2.3.y+y^2=9+6y+y^2\)
\(a,\dfrac{x^2+4x+4}{2x^2+4x}=\dfrac{\left(x+2\right)^2}{2x\left(x+2\right)^2}=\dfrac{x+2}{2x}\ne\dfrac{x+2}{2}\\ b,\dfrac{x^2-2}{x^2-1}\ne\dfrac{x+2}{x+1}\\ c,\dfrac{x^3-36x}{x^3+12x^2+36}=\dfrac{x\left(x-6\right)\left(x+6\right)}{x\left(x+6\right)^2}=\dfrac{x-6}{x+6}\ne\dfrac{-\left(x-6\right)}{x+6}=\dfrac{6-x}{x+6}\)
4: \(D=x^2-2\cdot x\cdot\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{3}{4}\)
\(=\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\ge\dfrac{3}{4}\forall x\)
Dấu '=' xảy ra khi \(x=\dfrac{1}{2}\)
\(A=\left(x^2-6x+9\right)-7=\left(x-3\right)^2-7\ge7\\ A_{min}=7\Leftrightarrow x=3\\ B=\left(9x^2+6x+1\right)-4=\left(3x+1\right)^2-4\ge-4\\ B_{min}=-4\Leftrightarrow x=-\dfrac{1}{3}\\ C=\left(x^2-2\cdot\dfrac{5}{2}x+\dfrac{25}{4}\right)-\dfrac{9}{4}=\left(x-\dfrac{5}{2}\right)^2-\dfrac{9}{4}\ge-\dfrac{9}{4}\\ C_{min}=-\dfrac{9}{4}\Leftrightarrow x=\dfrac{5}{2}\\ D=\left(x^2-x+\dfrac{1}{4}\right)+\dfrac{3}{4}=\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\ge\dfrac{3}{4}\\ D_{min}=\dfrac{3}{4}\Leftrightarrow x=\dfrac{1}{2}\)
\(E=3\left(x^2+2\cdot\dfrac{1}{3}x+\dfrac{1}{9}\right)-\dfrac{4}{3}=3\left(x+\dfrac{1}{3}\right)^2-\dfrac{4}{3}\ge-\dfrac{4}{3}\\ E_{min}=-\dfrac{4}{3}\Leftrightarrow x=-\dfrac{1}{3}\\ F=x^2-2x+1+x^2-4x+4+2021\\ F=2\left(x^2-3x+\dfrac{9}{4}\right)+\dfrac{4031}{2}=2\left(x-\dfrac{3}{2}\right)^2+\dfrac{4031}{2}\ge\dfrac{4031}{2}\\ F_{min}=\dfrac{4031}{2}\Leftrightarrow x=\dfrac{3}{2}\)
a: \(=\dfrac{x+2}{x+2}=1\)
b: \(=\dfrac{2x+6}{x+3}=2\)
a) \(\sqrt{169}=13\) và \(\sqrt{196}=14\)
bài 3 :
a) \(A=\frac{\sqrt{72}}{\sqrt{2}}+2\frac{\sqrt{27}}{\sqrt{3}}-3\frac{\sqrt{28}}{\sqrt{63}}=\frac{22}{3}\)tương tự
Bạn có thể giải chi tiết hơn cho mình dc ko bạn