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How do you simplify $(x + 3)(x - 8)$ ?

Last updated date: 20th Jun 2024
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Hint:Take out all the like terms to one side and all the alike terms to the other side. Take out all the common terms. Reduce the terms on the both sides until they cannot be reduced any further if possible. Then finally evaluate the value of the unknown variable. Solve both the inequalities separately.

Complete step by step answer:
First we will start off by evaluating the inequality $(x + 3)(x - 8)$.
Now we first start by opening the brackets and multiplying the terms.
$(x + 3)(x - 8) \\
\Rightarrow x(x) + x( - 8) + 3(x) + 3( - 8) $
Now we will simplify the terms.
$x(x) + x( - 8) + 3(x) + 3( - 8) \\
\Rightarrow {x^2} - 8x + 3x - 24 $
Now we combine all the like terms together.
${x^2} - 8x + 3x - 24 \\
\therefore{x^2} - 5x - 24 \\ $
Hence, the simplified form of the expression $(x + 3)(x - 8)$ is ${x^2} - 5x - 24$.

Additional Information:
To cross multiply terms, you will multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. Then you multiply the numerator of the second fraction times the number in the denominator of your first fraction, and then you write that number down.

Note: While multiplying the terms, multiply the terms step-by-step to avoid any mistakes. After cross multiplication, take the variables to one side and integer type of terms to the other side. Reduce the terms by factorisation. Multiply the terms along with their signs as well.By Cross multiplication of fractions, we get to know if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you are not sure how to reduce. Cross multiplication also helps us to solve for unknown variables in fractions.