Jamalhopper555idn
Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.

Type the correct answer in each box. Use numerals instead of words.

Consider this expression:
[tex]\[
(x + 5)(x - 7)
\][/tex]

Complete the box to show the distributive property applied to this expression:

[tex]\[
(x + 5)(x - 7) = x^2 - 7x + 5x - 35
\][/tex]

Simplified:

[tex]\[
x^2 - 2x - 35
\][/tex]

Sagot :

GinnyAnsweridn
To apply the distributive property to the expression [tex]\((x + 5)(x - 7)\)[/tex], we need to use the FOIL method, which stands for First, Outer, Inner, Last. This method helps us multiply each term in the first binomial by each term in the second binomial. Let's go through each step:

1. First: Multiply the first terms in each binomial.
[tex]\[ x \cdot x = x^2 \][/tex]

2. Outer: Multiply the outer terms in the binomials.
[tex]\[ x \cdot (-7) = -7x \][/tex]

3. Inner: Multiply the inner terms in the binomials.
[tex]\[ 5 \cdot x = 5x \][/tex]

4. Last: Multiply the last terms in each binomial.
[tex]\[ 5 \cdot (-7) = -35 \][/tex]

Now, we combine these results:
[tex]\[ x^2 - 7x + 5x - 35 \][/tex]

Combine the like terms [tex]\(-7x\)[/tex] and [tex]\(5x\)[/tex]:
[tex]\[ x^2 - 2x - 35 \][/tex]

So, the expression [tex]\((x + 5)(x - 7)\)[/tex] expanded using the distributive property is:
[tex]\[ x^2 - 2x - 35 \][/tex]
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.