qanda-logo
apple logogoogle play logo

Calculator search results

Formula
Factorize the expression
Answer
circle-check-icon
expand-arrow-icon
$100z ^{ 2 } -100z+25$
$25 \left ( 2 z - 1 \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 100 } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 100 } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 25 }$
$ $ Use the factoring formula, $ a^{2}-2ab + b^{2} = \left(a-b\right)^{2}$
$\left ( \color{#FF6800}{ 10 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 10 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { 2 }$
$ $ Bind the expressions with the common factor $ 5$
$\left ( \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \right ) ^ { 2 }$
$\left ( \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Arrange the powers.. $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the factors $ $
$\color{#FF6800}{ 25 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
Solution search results
search-thumbnail-$21.$ $z^{2}-10z+25-8i$ $=0$
10th-13th grade
Other
search-thumbnail-$1.$ $z^{2}-10z+25-8i=0$
10th-13th grade
Other
Have you found the solution you wanted?
Try again
Try more features at Qanda!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture
apple logogoogle play logo