Question

Factorise? solve the problem?? ​

Answer 1

7.

${16a}^{2} - 144 = 4(4 {a}^{2} - 36)$

8.

$63 {a}^{2} - 112 {b}^{2} = 7(9 {a}^{2} - 52 {b}^{2} )$

9.

$20 {a}^{2} - 45 {b}^{2} = 5(4 {a}^{2} - 9 {b}^{2} )$

Answer 2

Question number 6:-

$9 {a}^{2} {b}^{2} - 25$

$= (3ab)^{2} - (5)^{2}$

$= (3ab + 5)(3ab - 5)$

Question number 7:-

$16 {a}^{2} - 144$

$= 16( {a}^{2} - 9)$

$= 16((a)^{2} - (3)^{2} )$

$= 16(a + 3)(a - 3)$

Question number 8:-

$63 {a}^{2} - 112 {b}^{2}$

$= 7(9 {a}^{2} - 16 {b}^{2} )$

$= 7((3a)^{2} - (4b)^{2} )$

$= 7(3a + 4b)(3a - 4b)$

Question number 9:-

$20 {a}^{2} - 45 {b}^{2}$

$= 5(4 {a}^{2} - 9 {b}^{2} )$

$= 5((2a)^{2} - (3b)^{2} )$

$= 5(2a + 3b)(2a - 3b)$

Question number 10:-

$12 {x}^{2} - 27$

$= 3(4 {x}^{2} - 9)$

$= 3((2x)^{2} - {(3)}^{2} )$

$= 3(2x + 3)(2x - 3)$

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