Question

(8x-7)² - (6x+8)² answer should be (14x+1) (2x-15) what is solution​

Answer 1

Answer:

( 14x + 1 ) ( 2x - 15 )

Step-by-step explanation:

(8x-7)² - (6x+8)²

= ( (8x-7) + (6x+8) ) * ( (8x-7) + (6x+8) )       [ As a²-b² = (a+b)(a-b) ]

= ( 8x-7 + 6x+8 ) * ( 8x-7 - 6x - 8 )

= ( 8x + 6x + 8 - 7 ) * ( 8x - 6x - 8 - 7 )

= ( 14x + 1 ) ( 2x - 15 )

Answer 2

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

(8x-7)² - (6x+8)²

$\sf{\underline{\overline{\pink{Formula \:- a²\:-\:b²=(a+b)\:(a-b)}}}}$

= ( (8x-7) + (6x+8)) × ( (8x-7)+(6x+8))

= ( 8x-7 + 6x+8 ) × ( 8x-7 - 6x-8)

= ( 8x + 6x + 8-7) (8x - 6x - 8 - 7 )

= ( 14x + 1) (2x - 15 )