Respuesta :
part A = x²a² + 3xa² + 2a²
= a²(x² + 3x + 2)
= a²(x+1)(x+2)
part B = x² + 2x + 1
= (x + 1)²
part C = x²-1
=x²-1²
=(x-1)(x+1)
= a²(x² + 3x + 2)
= a²(x+1)(x+2)
part B = x² + 2x + 1
= (x + 1)²
part C = x²-1
=x²-1²
=(x-1)(x+1)
Part A: Factor x2a2 + 3xa2 + 2a2. Show your work. (4 points)
Important: Use "^" to denote exponentiation: x^2a^2 + 3xa^2 + 2a^2. Here a^2 is common to all three terms, and so we have a^2(x^2 + 3x + 2). Further, a^2(x^2 + 3x + 2) factors further: a^2(x+1)(x+2).
Part B: Factor x^2 + 2x + 1. The factors are (x+1)(x+1). Check this through multiplication.
Part C: Factor x^2 − 1 = x^2 - 1^2 is the difference of two squares. The factors are (x-1)(x+1). You've got to memorize this identity.