Question

How do you expand $2a\left( 2a+5 \right)$ ?

Answer 1

Hint: Here in this question we have been asked to expand the given expression $2a\left( 2a+5 \right)$ . For doing that we will perform simple basic arithmetic operations like multiplication. We will multiply $2a$ with $2a+5$ and get the result.

Complete step by step solution:
Now considering from the question we need to expand the expression which is given as $2a\left( 2a+5 \right)$ .
For that sake we will perform simple basic arithmetic operations like multiplication.
We will first multiply $2a$ with $2a+5$ and then we will have the result as $\Rightarrow 2a\left( 2a+5 \right)=4{{a}^{2}}+10a$ .

Therefore we can conclude that the expanded form of the given expression $2a\left( 2a+5 \right)$ is $4{{a}^{2}}+10a$

Note: While answering questions of this type we should be sure with our calculations. This is a very simple and easy question and it can be solved in a short span of time. We just need to perform simple basic arithmetic operations like addition, subtraction and multiplication for solving questions of this type. The conclusion should be as simple as it is possible. We can also simplify and expand any similar expression function like we will simplify this expression $\left( 4x \right)\left( x+2 \right)$ and then we will have this as result $4x\left( x+2 \right)\Rightarrow 4{{x}^{2}}+8x$ . Here in these expressions we don’t have similar terms so we had performed only multiplication operations. For example we can consider another expression $\left( x+2 \right)\left( x+5 \right)$ if we multiply sub expressions we will have $\left( x+2 \right)\left( x+5 \right)\Rightarrow \left( {{x}^{2}}+5x+2x+10 \right)$ now if we observe we have similar terms in this expression so we will add the similar terms and simplify it further after doing that we will have ${{x}^{2}}+7x+10$.