Factorise : 9x 2 + 3x - 8y - 64y 2

Given, 9x 2 + 3x - 8y - 64y 2 = 9x 2 - 64y 2 + 3x - 8y = (3x) 2 - (8y) 2 + 3x - 8y = (3x + 8y)(3x - 8y) + (3x - 8y) = (3x - 8y)(3x + 8y + 1). Hence, 9x 2 + 3x - 8y - 64y 2 = (3x - 8y)(3x + 8y + 1).

Mathematics

Factorise :
9x² + 3x - 8y - 64y²

Factorisation

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Answer

Given,

9x² + 3x - 8y - 64y²

= 9x² - 64y² + 3x - 8y

= (3x)² - (8y)² + 3x - 8y

= (3x + 8y)(3x - 8y) + (3x - 8y)

= (3x - 8y)(3x + 8y + 1).

Hence, 9x² + 3x - 8y - 64y² = (3x - 8y)(3x + 8y + 1).

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Mathematics

Factorise :
9x² + 3x - 8y - 64y²

Factorisation

Answer

Related Questions

Show that :
(i) 13³ - 5³ is divisible by 8.
(ii) 35³ + 27³ is divisible by 62.

Mathematics

Factorise :9x2 + 3x - 8y - 64y2

Factorisation

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Related Questions

Show that :(i) 133 - 53 is divisible by 8.(ii) 353 + 273 is divisible by 62.

Factorise :
9x² + 3x - 8y - 64y²

Show that :
(i) 13³ - 5³ is divisible by 8.
(ii) 35³ + 27³ is divisible by 62.