(2%E2%88%925z).jpeg "(1−5z)(2−5z)")
Expanding (1−5z)(2−5z)
This expression represents the product of two binomials. We can expand it using the FOIL method:
First: Multiply the first terms of each binomial: 1 * 2 = 2
Outer: Multiply the outer terms of the binomials: 1 * -5z = -5z
Inner: Multiply the inner terms of the binomials: -5z * 2 = -10z
Last: Multiply the last terms of each binomial: -5z * -5z = 25z²
Now, combine the terms:
2 - 5z - 10z + 25z²
Finally, simplify by combining like terms:
25z² - 15z + 2
Therefore, the expanded form of (1−5z)(2−5z) is 25z² - 15z + 2.