Simplify: 25x(3/5
x + 4)
The first step is to distribute the 25x to the terms inside the parentheses:
25x(3/5x + 4) = (25x)(3/5x) + (25x)(4)
Simplifying the first term:
(25x)(3/5x) = (25*3/5)(x*x) = 15x^2
Simplifying the second term:
(25x)(4) = 100x
Putting it all together:
25x(3/5x + 4) = 15x^2 + 100x
To simplify the expression 25x(3/5x + 4), you need to distribute the 25x to each term inside the parentheses.
Step 1: Distribute 25x to 3/5x and 4:
= 25x * (3/5x) + 25x * 4
Step 2: Simplify each term:
= (25 * 3/5)(x * x) + 25 * 4
= (75/5)(x^2) + 100
Step 3: Simplify further if possible:
= 15(x^2) + 100
So, the simplified expression is 15x^2 + 100.
To simplify the expression 25x(3/5x + 4), you can use the distributive property.
Step 1: Distribute the 25x to both terms inside the parentheses.
25x * (3/5x) + 25x * 4
Step 2: Simplify the first term by cancelling out common factors.
The x in the numerator and denominator cancel out, resulting in:
(25 * 3/5) + 25x * 4
Step 3: Simplify the fraction by multiplying the numerators and multiplying the denominators.
(75/5) + 25x * 4
Step 4: Simplify the fraction further by dividing the numerator by the denominator.
15 + 25x * 4
Step 5: Multiply 25x by 4.
15 + 100x
Therefore, the simplified expression is 15 + 100x.