Question

How do you simplify $8x\left( 3{{x}^{2}}-8 \right)+10$ ?

Answer 1

Hint: Now considering from the question we have been asked to simplify the given expression $8x\left( 3{{x}^{2}}-8 \right)+10$ and write it in the reduced form. For that sake we will perform simple basic arithmetic operations and reduce it.

Complete step by step solution:
Here in this question we have been asked to simplify the given expression $8x\left( 3{{x}^{2}}-8 \right)+10$ .
For simplifying this expression we will perform simple basic arithmetic operations and reduce it.
Initially we will perform the simple basic arithmetic multiplication and simplify the expression. After simplifying this expression we will have $8x\left( 3{{x}^{2}}-8 \right)+10=24{{x}^{3}}-64x+10$.
Therefore we can conclude that the simplified form of this expression is $8x\left( 3{{x}^{2}}-8 \right)+10=24{{x}^{3}}-64x+10$ .

Note: While answering this question we should be sure with our concepts and basic arithmetic calculations that we perform during the process. These questions are very simple and time efficient. Very few mistakes are possible while during the process of solution. Similarly we can solve any other expression. For example if we wish to solve the expression $2\left( 2{{x}^{2}}+3 \right)+11x$ then we will perform some simple basic arithmetic operations. Here first we will perform multiplication and later we will factorize the expression and write it as a product of two linear factors. $2\left( 2{{x}^{2}}+3 \right)+11x=4{{x}^{2}}+11x+6\Rightarrow 4{{x}^{2}}+8x+3x+6=\left( 4x+3 \right)\left( x+2 \right)$
As this is a quadratic expression we will have two roots for this. For any cubic expression we will have three roots for the expression given in the above expression. Here this question has some uncertain roots; they may be complex so we will not try to find the roots of the given expression and not factorize it.