Mathematics: How to factor z²-4z+4

How to factor z²-4z+4 - id4413836276, cbaldwin6605

Ответ:

RoyalGurl01

25.07.2021

Mathematics

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

${z}^{2} - 4z + 4$

$= {z}^{2} - 2z - 2z + 4$

Taking "" as common from first two terms and "" from last two terms, we have

$= z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )$

Taking the factor (z-2) as common,

$= ( \: z - 2 \: )( \: z - 2 \: )$

$= {( \: z - 2 \: )}^{1 + 1}$

$= ({ \: z - 2 \: })^{2}$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}$

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Ответ:

kbruner20

07.09.2022

Mathematics

It is an exponential function, since 25% of the light is lost by adding each screen, or remaining light is 1-0.25=0.75 of the previous brightness.

Thus, after x screens,
L(x)=L*0.75*0.75... *0.75 (x times)
=L*0.75^x

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How to factor z²-4z+4

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