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3 years ago

How to factor z²-4z+4

Mathematics

1 answer:

allochka39001 [22]3 years ago

8 0

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

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

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

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

Taking " $z$ " as common from first two terms and " $2$ " 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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3 years ago

Read 2 more answers

Cedric and doug each had an equal amount of money. After cedric spent $35 and doug spent $28, the ratio of cedrics money to doug

uysha [10]

Answer:

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Step-by-step explanation:

Given:

Cedric and Doug each had an equal amount of money.

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$x= 49$

Hence $49 they each had at first.

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3 years ago