Question

what is the coefficient of
x² in each of the following : (x+2) (x-2)​

Answer 1

A coefficient is a number multiplied by a variable. Examples of coefficients: In the term 14 c 14c 14c , the coefficient is 14. In the term g, the coefficient is 1.

First solve this equation

(x+2)(x-2)

by using identity ${\boxed{\sf{\red{(a+b)(a-b)=a²-b²}}}}$

x²-2²

x²-4

therefore 1 is the coefficient of x²

Answer 2

✧$\huge \mathcal \red {\underline{\underline{A}}}$ $\huge \mathcal \green {\underline{\underline{N}}}$ $\huge \mathcal \pink {\underline{\underline{S}}}$ $\huge \mathcal \blue {\underline{\underline{W}}}$ $\huge \mathcal \orange {\underline{\underline {E}}}$ $\huge \mathcal \purple {\underline{\underline{R}}}$✧

Given :

$\mathtt {(x\: + \:2)\: (x \: - \: 2)}$

To find :

$\texttt {The coefficient of x²}$

Solution :

$\texttt {To find the coefficient of x², we have to multiply the expression.}$

$\texttt {We know that,}$

$\fbox {(a \: + \: b) \: (a \: - \: b) \: = (a² \: - \: b²)}$

$\texttt {So,}$

➜ $\mathtt {(x \: + \:2) \: (x \: - \: 2)}$

➜ $\mathtt {(x^2 \: - \: 2^2)}$

➜ $\mathtt {(x^2 \: - \: 4)}$

$\texttt {Now, we can see that there is no number before x² so we can conclude that, the coefficient of x² is 1.}$

$\implies \texttt {Hence, the coefficient of x² is 1.}$

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