Question

a^2-b^2
factorise
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​

Answer 1

Answer:

(a+b)(a-b)

Step-by-step explanation:

Use identity (a+b)(a-b) =a²-b²

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Answer 2

Question:

a² - b²

Solution:

a² - b²

$⟹$$\tt\underline\red{(a + b) (a - b)}$

Example:

☆ 983² - 17²

[a² - b² = (a + b) (a - b)] ..... identity (3)

here,

• $\tt\underline\orange{a}$ = $\tt\underline\orange{983²}$
• $\tt\underline\orange{b}$ = $\tt\underline\orange{17²}$

So,

983² - 17²

$⟹$(983 + 17) (983 - 17)

★ More:

1) $\tt\underline\red{(a + b)² = a² + 2ab + b²}$

2)$\tt\underline\red{(a - b)² = a² - 2ab + b²}$

3)$\tt\underline\red{a² - b² = (a + b) (a - b)}$