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## AutoCAD 2021 24.0 Crack+ Incl Product Key Free X64

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Q:

Prove that for all real numbers $a$ and $b$ if $a^2+b^2 eq 0$ then $a^2+b^2+2ab eq 0$

Prove that for all real numbers $a$ and $b$ if $a^2+b^2 eq 0$ then $a^2+b^2+2ab eq 0$.

This is from my high school book (I don’t know the name) and the question is not even about a homework question, but they asked this question on a written test on another test. This is the only bit of the test that I couldn’t solve. Any help would be appreciated.

A:

One approach is to use the identity $$(a+b)^2 = a^2 + b^2 + 2ab$$ to show that $$(a^2+b^2)^2 + 4(a^2+b^2) + 4ab(a+b) = (a^2+b^2+2ab)^2$$

A:

Since $a^2+b^2=1$ or $a^2+b^2=-1$, we have that
\begin{align}a^2+b^2+2ab&=(a+b)^2-1\\&=a^2+b^2-1+2ab\end{align}

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## What’s New in the AutoCAD?

Customized context icons:

With new customized icons, you can attach icons directly to parts or drawings, including the part window, text window, and the drawing name, context bar, and tooltip.

Visible check boxes:

Hover over a check box, and it will be turned into a yellow “X”, to make it easy to quickly hide and display a check box.

Power tips:

Quickly access hidden settings without leaving your current drawing or viewing a main menu.

Architecture (Ai) tag editing:

When you edit an Ai tag, the data in the tag will be updated immediately to the current drawing data. (video: 1:19 min.)

Curvature control:

Use new curvature controls to adjust the radius, curvature, and smoothness of a line. (video: 1:09 min.)

Liquid Control:

Adjust the flow rate, discharge, and sedimentation angle of liquid.

Measurement grids:

Measure the distances or angles between two points.

Quick palettes:

Access hidden, custom palettes with a keyboard shortcut.

Display, hide, and repair horizontal and vertical grid lines:

Switch to the “grid” tool to turn on and off the grid lines in a drawing. Easily hide or repair the grid lines.

Access commands and jump to view locations in the ribbon, without needing to first navigate to the tool.

If you can’t see the features in the screenshots below, click the link to “Access the latest release notes.”

Explore the features of AutoCAD 2023 in the video below.

Overview

This is the first release of AutoCAD 2023. AutoCAD 2023 is the next version of AutoCAD and is available as a desktop and online version.

AutoCAD 2023 is the latest release of the Autodesk Design Suite. See all the latest releases and other Autodesk products here.