Question

What isthe number of terms that you get on simplifying (3x+5)(x-4)?

Answer 1

(3x + 5)(x - 4) Simplifying (3x + 5)(x - 4) Reorder the terms: (5 + 3x)(x - 4) Reorder the terms: (5 + 3x)(-4 + x) Multiply (5 + 3x) * (-4 + x) (-4(5 + 3x) + x * (5 + 3x)) ((-4 * 5 + 3x * (-4)) + x * (5 + 3x)) ((-20 - 12x) + x * (5 + 3x)) (-20 - 12x + (5 * x + x * 3x)) (-20 - 12x + (5x + 3x²)) Combine like terms: -12x + 5x = -7x (-20 - 7x + 3x²) Reordering , we get 3x²-7x-20 So it has 3 terms