Algebra tiles

<div class="content-box-placement content-box-placement--full content-box-placement--align-center" style="display:flex;justify-content:stretch;max-width:100%"><div class="content-box content-box--emphasis" data-content-box-preset="emphasis" style="box-sizing:border-box;border-color:var(--content-box-border, #1E6FBA);border-style:solid;border-width:0px;border-radius:0px;background-color:var(--content-box-background, #F5F8FC);color:var(--content-box-foreground, #111827);padding:12px 16px;font-family:'EB Garamond', serif;font-size:16px;line-height:1.35;width:100%;max-width:100%;border-left-width:3px"><p style="text-align: center">\((a\pm b)^2=a^2\pm2ab+b^2\)</p></div></div>
<div class="content-box-placement content-box-placement--full content-box-placement--align-center" style="display:flex;justify-content:stretch;max-width:100%"><div class="content-box content-box--emphasis" data-content-box-preset="emphasis" style="box-sizing:border-box;border-color:var(--content-box-border, #1E6FBA);border-style:solid;border-width:0px;border-radius:0px;background-color:var(--content-box-background, #F5F8FC);color:var(--content-box-foreground, #111827);padding:12px 16px;font-family:'EB Garamond', serif;font-size:16px;line-height:1.35;width:100%;max-width:100%;border-left-width:3px"><p style="text-align: center">\((a+b)(a-b)=a^2-b^2\)</p></div></div>
<p class="paragraph-header">Trigonometric expressions</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 560px;"><colgroup><col style="width: 46.4286%;"><col style="width: 53.5714%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><strong>Expression</strong></th><th style="text-align: center; --cell-justify: center"><strong>Factorised form</strong></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(\sin^2x+2\sin x+1\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(4\tan^2x+4\tan x+1\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(9\cos^2x+12\cos x+4\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(\sin^2x-2\sin x+1\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(\cos^2x-4\cos x+4\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(\tan^2 2x-6\tan 2x+9\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(\sin^2x-1\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(1-\tan^2 2x\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(16-\cos^2x\)</td><td class="table-cell--fill-in" style="text-align: center; --cell-justify: center"></td></tr></tbody></table></div></div>
<p>Treat each ratio as one quantity. Check the middle term and the order of subtraction.</p>

Treat each ratio as one quantity. Check the middle term and the order of subtraction.

Using the special Quadratic Identities

Using the special Quadratic Identities

Video Solution:

Solution:

Solution locked

Expression	Factorised form
\(\sin^2x+2\sin x+1\)
\(4\tan^2x+4\tan x+1\)
\(9\cos^2x+12\cos x+4\)
\(\sin^2x-2\sin x+1\)
\(\cos^2x-4\cos x+4\)
\(\tan^2 2x-6\tan 2x+9\)
\(\sin^2x-1\)
\(1-\tan^2 2x\)
\(16-\cos^2x\)