Question

Write the following cube in expanded form: (2x + 3)whole cube​

Answer 1

Question:

• To find Expanded form of (2x + 3)³.

Solution:

We know that,

$\red\bigstar\:\boxed{\sf (a+b)^3 = a^3 + b^3 +3ab(a+b)}$

Here we have ,

• a = 2x
• b = 3

$\large\purple{\mathfrak{\underline{Substituting \:the\: values\:}}}$

$\longmapsto (2x+3)^3 = (2x)^3 + 3^3 + 3(2x)(3)(2x+3) \\\\\implies 8x^3 + 27 +18x(2x+3) \\\\\implies 8x^3 + 27 + 36x^2 + 54x \\\\\implies 8x^3+36x^2+54x+27$

More to know:

• (a-b)³ = a³ -b³ -3ab(a-b)
• (a+b)³ = a³ + b³ + 3ab(a+b)
• a³+b³ = (a +b)(a² + b² -2ab)
• a³- b³ = (a - b)(a² + b² +2ab)
• (a + b+c)² = a²+b²+c² + 2ab + 2bc+ 2ca