Question

(4x+1)(x+5)=(4x+1) (3x+2)

Answer 1

4x^2+20x+x+5=12x^2+7x+2
-8x^2+14x+3=0
8x^2-14x-3=0

Answer 2

To determine if the equation is true, we'll need to simplify both sides and check if they are equal.

Step 1: Expand both sides of the equation:

Left side: (4x + 1)(x + 5) = 4x^2 + 20x + x + 5 = 4x^2 + 21x + 5

Right side: (4x + 1)(3x + 2) = 12x^2 + 8x + 3x + 2 = 12x^2 + 11x + 2

Step 2: Now, let's compare the simplified expressions:

Left side: 4x^2 + 21x + 5 Right side: 12x^2 + 11x + 2

The two expressions are not equal, so the original equation is not true:

(4x + 1)(x + 5) ≠ (4x + 1)(3x + 2)