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

9 Likes

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).

Answered By

6 Likes

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.

Evaluate :
$\dfrac{5.67 \times 5.67 \times 5.67 + 4.33 \times 4.33 \times 4.33}{5.67 \times 5.67 - 5.67 \times 4.33 + 4.33 \times 4.33}$

Factorise :
$2\sqrt{3}x^2 + x - 5\sqrt{3}$

Factorise :
$\dfrac{1}{4}(a + b)^2 - \dfrac{9}{16}(2a - b)^2$

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.

Evaluate :5.67×5.67×5.67+4.33×4.33×4.335.67×5.67−5.67×4.33+4.33×4.33\dfrac{5.67 \times 5.67 \times 5.67 + 4.33 \times 4.33 \times 4.33}{5.67 \times 5.67 - 5.67 \times 4.33 + 4.33 \times 4.33}5.67×5.67−5.67×4.33+4.33×4.335.67×5.67×5.67+4.33×4.33×4.33​

Factorise :23x2+x−532\sqrt{3}x^2 + x - 5\sqrt{3}23​x2+x−53​

Factorise :14(a+b)2−916(2a−b)2\dfrac{1}{4}(a + b)^2 - \dfrac{9}{16}(2a - b)^241​(a+b)2−169​(2a−b)2

Factorise :
9x² + 3x - 8y - 64y²

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

Evaluate :
$\dfrac{5.67 \times 5.67 \times 5.67 + 4.33 \times 4.33 \times 4.33}{5.67 \times 5.67 - 5.67 \times 4.33 + 4.33 \times 4.33}$

Factorise :
$2\sqrt{3}x^2 + x - 5\sqrt{3}$

Factorise :
$\dfrac{1}{4}(a + b)^2 - \dfrac{9}{16}(2a - b)^2$