Question

expand (3x+5)² step by step​

Answer 1

• Solution :

→ (3x + 5)²

→ (3x)² + (5)² + 2 × 3x × 5

→ 9x² + 25 + 30x

• Identity used
• (a + b)² = a² + b² + 2ab

Answer 2

$\red {\boxed{Explanation}}$

use the binomial theorem

$(a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2}$

 ‍ 

$(3x + 5) {}^{2}$

$a = 3x$

$b = 5$

$= (3x) {}^{2} + 2(3x)(5) + (5) {}^{2}$

$= 9 {x}^{2} + 6x(5) + (5) {}^{2}$

$= 9 {x}^{2} + 30x + 25$

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