4x squared -49 factorise
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical statement:
4x squared -49
The given numerical statement can be written in a numerical equation.
4x^2 -49
Factor the given numerical equation.
Solution:
The given equation is an example of a difference of two squares, since both terms are a square of a number. In order to fully understand the difference of two squares, we look at its basis.
(a^2 - b^2) = ( a - b) ( a +b)
The square root of 4x^2 is 2x, and the square root of 49 is 7, thus the difference of two square can be written as;
= 4x^2 -49
= (2x - 7)(2x + 7)
Final answer:(2x - 7)(2x + 7)