Question

multiply (2a + 3) by (2a² + 5a + 3)​

Answer 1

$\LARGE\mathfrak{\underline{✯\; Solution :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( 2a + 3 ) × ( 2a² + 5a + 3 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{2a ( 2a² + 5a + 3 ) + 3 ( 2a² + 5a + 3 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{4a³ + 10a² + 6a + 6a² + 15a + 9}$

$\qquad\tt{:}\longrightarrow\large\textsf{4a³ + 10a² + 6a² + 6a + 15a + 9}$

$\qquad\tt{:}\longrightarrow\boxed{\large\mathfrak\textcolor{red}{4a³ + 16a² + 21a + 9}}$

$\large\textsf{ }$

$\LARGE\mathfrak{\underline{✯\; Formulas :-}}$

$\large\textsf{ }$

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

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

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

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

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

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

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

$\large\textsf{ }$

Answer 2

Answer:

The evaluation is (a+1)(2a+3$)^{2}$

Step-by-step explanation:

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