Question

Factorise
$625 {a}^{2} - 256 {b}^{2}$
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Answer 1

Step-by-step explanation:

625a^2-256b^2

=(25a)^2-(16b)^2

=(25a+16b)(25a-16b)

Answer 2

Answer:

Question

Factorise :

$625 {a}^{2} - 256 {b}^{2}$

Solution

$\bold{↬ \purple{\: identity \to {x}^{2} - {y}^{2}} = (x + y)(x - y)}$

substitute the values in the identity

↬ 625a²- 256b²

↬(25a²)- (16b²)

↬(25a+16b) (25a-16b)

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MORE IdEntiTieS!!

✏️(a+b)²= a²+b²+2ab

✏️(a-b)²= a²+b²-2ab

✏️(x + y)³ = x³ + y³+ 3xy(x + y)

✏️(x – y)³ = x³– y³ – 3xy(x – y)

✏️(x + a) (x + b) = x² + (a + b)x + ab

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