(x+4)(x+10) Solve Using Identity

Jasonbradley

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Jun 16, 2024

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Solving (x+4)(x+10) using the Identity (a+b)(a+c)

This expression can be solved using the algebraic identity: (a+b)(a+c) = a² + a(b+c) + bc

Let's break down the process:

1. Identify 'a', 'b', and 'c':

   • In our expression (x+4)(x+10),
     • a = x
     • b = 4
     • c = 10

2. Apply the identity:

   • Substitute the values of a, b, and c into the identity:
   • x² + x(4+10) + 4*10

3. Simplify the expression:

   • x² + x(14) + 40
   • x² + 14x + 40

Therefore, the simplified form of (x+4)(x+10) using the identity is x² + 14x + 40.