qanda-logo
apple logogoogle play logo

Calculator search results

Formula
Factorize the expression
Answer
circle-check-icon
expand-arrow-icon
$16x ^{ 2 } +16x+4$
$4 \left ( 2 x + 1 \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 16 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 16 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$ $ Use the factoring formula, $ a^{2} + 2ab + b^{2} = \left(a+b\right)^{2}$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) ^ { 2 }$
$ $ Bind the expressions with the common factor $ 2$
$\left ( \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \right ) ^ { 2 }$
$\left ( \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Arrange the powers.. $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the factors $ $
$\color{#FF6800}{ 4 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
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