Question

expand it (5a-3b)²​

Answer 1

Step-by-step explanation:

Formula: (a-b)² = a² - 2ab + b²

so, (5a - 3b)² = (5a)² - 2.5a.3b + (3b)² = 25a²-30ab+ 9b²

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Answer 2

(5a - 3b)² = 25a² - 30ab + 9b²

Given :

The expression (5a - 3b)²

To find :

To expand the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (5a - 3b)²

Step 2 of 2 :

Expand the expression

We are aware of the identity that

(a - b)² = a² - 2ab + b²

Thus we get

$\displaystyle \sf{ {(5a - 3b)}^{2} }$

$\displaystyle \sf{ = {(5a )}^{2} - 2 \times 5a \times 3b + {(3b)}^{2} }$

$\displaystyle \sf{ = 25 {a}^{2} - 30ab + 9{b}^{2} }$

∴ (5a - 3b)² = 25a² - 30ab + 9b²

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