Question

simplify: (a + b +c)(a + b – c)+7

Answer 1

Solution :

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We know the algebraic identity:

( x + y )( x - y ) = x² - y²

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Here ,


( a + b + c )( a + b - c ) + 7

= ( a + b )² - c² + 7

= a² + b² + 2ab - c² + 7

= a² + b² - c² + 2ab + 7

•••••

Answer 2

Hey there!

Answer:

a² + b² -c² +2ab + 7

Step-by-step explanation:

Given,

(a+b+c)(a+b-c) + 7

= (a+b)² - c² + 7                {∵(a+b)(a-b) = a² - b²}

= a² + b² + 2ab - c² + 7

= a² + b² -c² +2ab + 7

Hope iT helps You!