how do i use the distrubutive property to factor this expression?
d^2+8d+7
ok so the problem is:d^2+8d+7
so now
d(d+8)+7
i guess its this.but don't write this down coz i m not sure first try to find out. :)
Just factor it.
The answer is (d+7)(d+1)
You can use the distributive property to prove that those factors work, but it won't help you solve it. You can do that by inspection.
d(d+8)+7 is one way to factor it, but a better way is
d(d+7) + d + 7
= (d+7)(d+1))
The two expressions are equal.
To use the distributive property to factor the expression d^2 + 8d + 7, we need to look for terms that can be added or subtracted together.
The distributive property states that for any real numbers a, b, and c, the product a(b + c) can be expanded as ab + ac.
In the given expression, we have d^2 + 8d + 7. Let's try to break down the middle term (8d) into two terms so that we can use the distributive property.
We need to find two numbers that multiply to give 7 (the constant term) and add up to 8 (the coefficient of the middle term, d). The numbers that satisfy these conditions are 1 and 7.
Now, we can rewrite the expression as:
d^2 + 1d + 7d + 7
Using the distributive property, we can factor by grouping. We group the first two terms and the last two terms:
(d^2 + 1d) + (7d + 7)
Now, we can factor out the greatest common factor (GCF) from each group:
d(d + 1) + 7(d + 1)
Notice that there is a common factor, (d + 1), in both groups. We can now factor out (d + 1) from each term:
(d + 1)(d + 7)
So, the factored form of the expression d^2 + 8d + 7 is (d + 1)(d + 7).
To check our answer, we can expand the factored form using the distributive property. Multiplying (d + 1)(d + 7) gives us d^2 + 7d + d + 7, which simplifies to d^2 + 8d + 7, the original expression.