Question

(2a+5b)3 solve using the suitable Identities plzz answer ​

Answer 1

$\huge{\underline{\bf\red{Questi {\mathbb{O}} n} :}}$

Solve using suitable identities :

• $\sf {(2a + 5b)}^{3}$

$\huge{\underline{\bf\blue{Soluti {\mathbb{O}} n}\ :}}$

we have ,

$\begin{aligned} & \quad \sf \ {(2a + 5b)}^{3} \\ \\ & = \sf {(2a)}^{3} + {(5b)}^{3} + 3(2a)(5b)(2a + 5b) \\ \\ & = \sf8 {a}^{3} + 125 {b}^{3} + 30ab(2a + 5b) \\ \\ & = \boxed{ \sf8 {a}^{3} + 125 {b}^{3} + 60 {a}^{2} b + 150a {b}^{2} } & & & & & & \end{aligned}$

$\red{\rule{5.5cm}{0.02cm}}$

Identity Used :

$\boxed{ \ {( \red x + \purple y)}^{3} = \red {x}^{3} + \purple {y}^{3} + 3 \red x \purple y( \red x + \purple y) \ }$

$\purple{\rule{7.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$

Answer 2

Step-by-step explanation:

(2a+5b)^3

By using identity:- (x+y)^3 = x^3 + y^3 + 3xy(x+y)

:- (2a+5b)^3 = 2a^3 + 5b^3 + 3(2a)

(5b) × (2a + 5b)

:- (2a+5b)^3 = 8a + 125b + 30ab ×

(2a + 5b)

:- (2a+5b)^3=8a+125b+60a^2b+150ab^2.