Março 25, 2020

por Jade

Como você fatora $x^{2} - 5 x$ $x ^ 2-5x$ ?

Responda:

$x (x - 5)$ $x(x-5)$

Explicação:

The first consideration is to check if there is a $common factor$ $color(blue)"common factor"$

$x^{2} = x \times x and 5 x = 5 \times x$ $x^2=color(red)(x)xx x" and " 5x=5xxcolor(red)(x)$

$Hence there is a common factor of x$ $"Hence there is a common factor of " color(red)(x)$ which can be taken out of each term.

$\Rightarrow x (x - 5) is the factored form$ $rArrcolor(red)(x)(x-5)" is the factored form"$

$Check$ $color(blue)"Check"$ by multiplying out.

$\Rightarrow x (x - 5) = (x \times x) - (5 \times x) = x^{2} - 5 x$ $rArrx(x-5)=(x xx x)-(5xx x)=x^2-5x$