Question
4.1.4.
Ask by Morrison Lawson. in South Africa
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
-
Begin with the expression:
-
Recognize that the expression is in the form
where and . The square of a binomial is given by: -
Substitute
and into the formula: -
Compute each term:
-
Write the final expanded form:
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Extra Insights
Let’s dive into the fun world of expanding
! When you square a binomial, you apply the formula
. Here,
is
and
is
. So, squaring it up gives us
.
Now you can see how this little expression transforms into a lovely quadratic! Quadratics like this are useful in various real-world scenarios, such as calculating areas of squares with changing side lengths or optimizing profit margins in business by finding maximum revenue. Quadratics are key players in many real-life applications!