Question

How do you find the product of \[\left( {g + 10} \right)\left( {2g - 5} \right)\]?

Answer 1

Hint: The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division and to find the product of the equation, as in given equation there are two expressions, hence just multiply the terms of the expressions together to get the product. Here in the solution each term in the second bracket is multiplied by each term in the first bracket as shown below.

Complete step-by-step solution:
 Let us write the given equation
\[\Rightarrow \left( {g + 10} \right)\left( {2g - 5} \right)\]
To find the product, multiply each terms of the given equation
\[\Rightarrow \left( {g \times 2g} \right) - \left( {5 \times g} \right) + \left( {10 \times 2g} \right) - \left( {5 \times 10} \right)\]
Simplifying the terms, we get
\[\Rightarrow 2{g^2} + 15g - 50\]
Therefore, the product of \[\left( {g + 10} \right)\left( {2g - 5} \right)\] is
\[\Rightarrow 2{g^2} + 15g - 50\].

Note: Multiplication is a method of finding the product of two or more values. In arithmetic, multiplication of two numbers represents the repeated addition of one number with respect to another. Integers are the whole numbers but it does not include fractions. The integer can be either positive integer or negative integer.