(2x 5)2 (x-3)?
Do you mean 2x to the 5th power -- 2x^5?
Maybe you meant
(2x+5)^2 (x-3) = 4x^3 + 8x^2 - 35x - 75
To simplify the expression (2x + 5) ^ 2 * (x - 3), you need to apply the rules of exponents and perform the multiplication.
Let's break it down step by step:
Step 1: Expand the first term (2x + 5) ^ 2 using the formula for squaring a binomial:
(2x + 5) ^ 2 = (2x + 5) * (2x + 5)
To simplify this expression, we can use the distributive property and FOIL method (First, Outer, Inner, Last):
= (2x * 2x) + (2x * 5) + (5 * 2x) + (5 * 5)
= 4x^2 + 10x + 10x + 25
= 4x^2 + 20x + 25
Step 2: Multiply the result from Step 1 with the second term (x - 3):
= (4x^2 + 20x + 25) * (x - 3)
Again, we can use the distributive property and FOIL method:
= (4x^2 * x) + (4x^2 * -3) + (20x * x) + (20x * -3) + (25 * x) + (25 * -3)
= 4x^3 - 12x^2 + 20x^2 - 60x + 25x - 75
= 4x^3 + 8x^2 - 35x - 75
So, the simplified expression is 4x^3 + 8x^2 - 35x - 75.