Question

(a-b)(6a+3b)

Please clear my doubt

Answer 1

Given :- (a-b)(6a+3b) solve .

Answer :-

→ (a - b)(6a + 3b)

taking common,

→ 3(a - b)(2a + b)

→ 3(2a * a + b * a - b * 2a - b * b)

→ 3(2a² + ab - 2ab - b²)

→ 3(2a² - b² - ab)

→ (6a² - 3b² - 3ab) (Ans.)

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Answer 2

SOLUTION

TO DETERMINE

$\sf{(a - b)(6a + 3b)}$

FORMULA TO BE IMPLEMENTED

Distributive Property

For three Real Numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

$\sf{(a - b)(6a + 3b)}$

$= \sf{a \times (6a + 3b) - b \times (6a + 3b)}$

$\sf{ = 6 {a}^{2} + 3ab - 6ab - 3 {b}^{2} }$

$\sf{ = 6 {a}^{2} + (3 - 6)ab - 3 {b}^{2} }$

$\sf{ = 6 {a}^{2} - 3ab - 3 {b}^{2} }$

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