5. Factorise: 100x2 – 80xy + 16y2

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Nazia Khanum

As an experienced tutor registered on UrbanPro.com, I'll guide you through the process of factoring the quadratic expression 100x² – 80xy + 16y². Let's break down the solution into clear steps. Step 1: Identify the Type of Quadratic Expression Before factoring, it's essential to recognize...
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As an experienced tutor registered on UrbanPro.com, I'll guide you through the process of factoring the quadratic expression 100x² – 80xy + 16y². Let's break down the solution into clear steps. Step 1: Identify the Type of Quadratic Expression Before factoring, it's essential to recognize the type of quadratic expression we're dealing with. The given expression is a perfect square trinomial, which can be factored using a specific formula. Step 2: Apply the Perfect Square Trinomial Formula The expression 100x² – 80xy + 16y² falls under the category of (a - b)², where 'a' and 'b' are terms in the form of ax and by, respectively. The formula for factoring a perfect square trinomial is: (a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2 In our case, a=10xa=10x and b=4yb=4y. Applying the formula: (10x−4y)2=(10x)2−2(10x)(4y)+(4y)2(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2 Step 3: Simplify the Expression Now, let's simplify the expression obtained from the formula: 100x2−80xy+16y2100x2−80xy+16y2 =100x2−80xy+16y2=100x2−80xy+16y2 This is the factored form of the given quadratic expression. read less
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