Question

Use a suitable identity to get each of the following products.
(a) (4x + 9) (4x + 12)
(b)  (p - 11) (p + 11)
(c) (2xy - 5y)2
(c) (2a – 7) (2a – 7)​

Answer 1

Answer:

answer for the given problem is given

Answer 2

$a) (4x+9)(4x+12)$

/* By Algebraic Identity */

$\boxed{ \pink{ (y+a)(y+b) = y^{2}+ (a+b)y + ab }}$

$= (4x)^{2} + ( 9 + 12 )\times 4x + 9 \times 12$

$= 16x^{2} + 21 \times 4x + 108$

$= 16x^{2} + 84x + 108$

Therefore.,

$\red{ (4x+9)(4x+12) }$

$\green { = 16x^{2} + 84x + 108}$

$b) ( p - 11 )( p + 11 )$

/* By Algebraic Identity */

$\boxed{\blue{ (a-b)(a+b) = a^{2} - b^{2} }}$

$= p^{2} - 11^{2}$

$= p^{2} - 121$

Therefore.,

$\red{ ( p - 11 )( p + 11 )}$

$\green {= p^{2} - 121}$

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