Question

Expand the given equation \[{(4x - 3)^2}\]?

Answer 1

Hint:Here in such a type of question you need to expand the bracket after that you have to do simple mathematical multiplication and get the result. While expansion you have to be clear for all the terms are multiplied of the first bracket to the second bracket, or you can use the algebraic identity that is
 \[{(a - b)^2} = {a^2} + {b^2} - 2ab\]
Formulae Used:
 \[{(a - b)^2} = {a^2} + {b^2} - 2ab\]

Complete step by step solution:
In this question we are going to use the algebraic identity and solve the question by comparing the given terms with the standard identity, algebraic identity that we are using
is:
\[{(a - b)^2} = {a^2} + {b^2} - 2ab\]
On comparison with the given equation to the standard equation the result we get are;
\[a = 4x,\,b = 3\]
Further solving this with the help of algebraic identity we know we get:
\[
= {(4x)^2} + {(3)^2} - 2 \times 4x \times 3 \\
= 16{x^2} + 9 - 13x \\
\]
Above is the required result for our given equation.
Additional Information: You can be sure that your answer is correct or not by moving in the reverse direction of the question, the new question formed can simplify the given equation into the best simplest solution so in that case you can go reverse and find the same answer as given in question.

Note: In this type of question you can also do by removing the square and adding another same bracket as given in the question and my multiplying both the bracket you can get the result, but here only two terms are given so direct using the algebraic identity is the best optimum way of solving the question.