13. Q13
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Similar Question 1
<p>Use a diagram to expand `$(a+b+c)^2$.</p>
Similar Question 2
<p>Expand and simplify. Use a CAS to verify your answers.</p><p><code class='latex inline'>(x-4)^3</code></p>
Similar Question 3
<p>Expand and simplify.</p><p><code class='latex inline'>(x-2)^4</code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>A cube has side length <code class='latex inline'>x</code>. Each dimension is increased by <code class='latex inline'>y</code>.</p><p>Write an algebraic expression for the difference in volume. Expand and simplify.</p>
<p>Simplify the following algebraic expression</p><p><code class='latex inline'> (a - b) + 2(a - b) + 3(a - b) + 4(a - b) + ... + 99(a - b) + 100(a - b) </code></p>
<p>Expand and simplify.</p><p><code class='latex inline'>(x-2)^4</code></p>
<p>Expand and simplify.</p><p><code class='latex inline'>(2x+3)(x-5)(4x+7)</code></p>
<p>Expand and simplify. Use a CAS to verify your answers.</p><p><code class='latex inline'>(x-4)^3</code></p>
<p>Expand and simplify. Use a CAS to verify your answers.</p><p><code class='latex inline'>(x+2)^4</code></p>
<p>Simplify the following algebraic expression</p><p><code class='latex inline'> (a - 2b) + (2b - 3c) + (3c - 4d) + (4d - 5e) + ... + (25y - 26z) </code></p>
<p>Expand and simplify.</p><p><code class='latex inline'>(2x^2+5x+3)^2</code></p>
<p>Expand and simplify.</p><p><code class='latex inline'>(5x-2)^3</code></p>
<p>Use a diagram to expand `$(a+b+c)^2$.</p>
<p>A pedestal for trophies is to be made from three layers. each m the shape of a square-based prism. All three layers are the same height, x, in centimetres, but each base length is 3 cm less than that of the layer immediately below.</p><img src="/qimages/22147" /><p>a) Write algebraic expressions for the side and top surface areas of each prism used to make the pedestal.</p><p>b) Write an algebraic expression for the exposed top surface area of the bottom layer of the pedestal. Expand and simplify.</p><p>c) Write an algebraic expression for the exposed top surface area of the middle layer of the pedestal. Expand and simplify.</p>
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