(4x-7)-simplify.jpeg "(2x+5)(4x-7) Simplify")
Simplifying the Expression (2x + 5)(4x - 7)
This expression involves multiplying two binomials. We can simplify it using the FOIL method (First, Outer, Inner, Last):
1. First: Multiply the first terms of each binomial: (2x) * (4x) = 8x²
2. Outer: Multiply the outer terms of each binomial: (2x) * (-7) = -14x
3. Inner: Multiply the inner terms of each binomial: (5) * (4x) = 20x
4. Last: Multiply the last terms of each binomial: (5) * (-7) = -35
Now, combine the terms:
8x² - 14x + 20x - 35
Simplify by combining the 'x' terms:
8x² + 6x - 35
Therefore, the simplified form of (2x + 5)(4x - 7) is 8x² + 6x - 35.