Question

1
.
Simplify: (x2 + 4x + 4)(x + 2)​

Answer 1

Answer:

(x + 2)³

Step-by-step explanation:

(x² + 4x +4)(x + 2)

(x² + 2x + 2x +4)(x + 2)

[x(x +2) + 2(x +2)](x+2)

(x+2)(x+2)(x +2)

(x + 2)³

Answer 2

$\LARGE\textsf{\underline\textcolor{aqua}{↭ SoLuTiOn :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( x² + 4x + 4 )( x + 2 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( x² + 2x + 2x + 4 )( x + 2 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{[ x ( x + 2 ) + 2 ( x + 2 ) ] ( x + 2 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( x + 2 )( x + 2 )( x + 2 )}$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{( x + 2 )³}}$

$\large\textsf{ }$

$\LARGE\textsf{\underline\textcolor{aqua}{↭ MoRe fOrMuLaS :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }$

$\large\textsf{ }$

$\large\textsf\textcolor{purple}{ \; \; \; \; \; \; \; \; \; \; \; \; ◈ ━━━━━━━ ✪ ━━━━━━━ ◈}$