Simplification of an Algebraic Expression
Published:
8. $\frac{13.5^3 + 1.4^3}{14.9} - 13.5^2 - 1.4^2$ if
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Step by Step Written Solution
Hi Sema, let's solve this expression together by using some algebraic identities.
Analyzing the Expression
First, let's define our terms. Let 'a' equal 13.5 and 'b' equal 1.4. Notice that their sum, 13.5 plus 1.4, is exactly 14.9, which matches the denominator.
Now we can rewrite the original expression in terms of 'a' and 'b'.
Recall the sum of cubes factorization: a cubed plus b cubed equals (a plus b) times (a squared minus ab plus b squared).
Let's substitute this identity back into our expression.
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