Which expression is equivalent to -28x2 + 35x?
F 7x(4x + 5)
G -7x(4x − 5)
H 7x(4x − 5)
J -7x(4x + 5)
-28 x^2 + 35 x
= -7x ( 4 x - 5)
h
To find the equivalent expression to -28x^2 + 35x, we need to factor out the greatest common factor from both terms. The greatest common factor here is 7x.
Start by factoring out 7x:
-28x^2 + 35x = 7x(-4x + 5)
So, the expression that is equivalent to -28x^2 + 35x is option G: -7x(4x − 5).
To determine which expression is equivalent to -28x^2 + 35x, we can use factoring.
First, we look for the greatest common factor (GCF) of the two terms: -28x^2 and 35x. The GCF here is 7x.
Next, we can factor out the GCF from the original expression:
-28x^2 + 35x = 7x(-4x + 5)
Now we can compare this factored form to the given answer choices:
F: 7x(4x + 5) - This expression has the opposite sign in front of the 4x term.
G: -7x(4x − 5) - This expression has the correct negative sign in front of the 4x term and the correct positive sign in front of the 5.
H: 7x(4x − 5) - This expression has the opposite sign in front of the 4x term.
J: -7x(4x + 5) - This expression has the correct negative sign in front of the 4x term and the correct positive sign in front of the 5.
From the answer choices, the expression that is equivalent to -28x^2 + 35x is option G: -7x(4x − 5).