Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Match each expression written in standard form to the equivalent expression in factored form.

1. [tex]\(15x^7 + 10y^2\)[/tex]
- [tex]\(\boxed{5(3x^7 + 2y^2)}\)[/tex]

2. [tex]\(x^3(15x^4y^2 + 4)\)[/tex]
- [tex]\(\boxed{15x^7y^2 + 4x^3}\)[/tex]

3. [tex]\(15x^7y^2 + 3x\)[/tex]
- [tex]\(\boxed{3x(5x^6y^2 + 1)}\)[/tex]

4. [tex]\(15x^7y^2 + 4x^3\)[/tex]
- [tex]\(\boxed{x^3(15x^4y^2 + 4)}\)[/tex]

5. [tex]\(15x^7y^2 + 6xy\)[/tex]
- [tex]\(\boxed{3xy(5x^6y + 2)}\)[/tex]

Sagot :

GinnyAnswer
Certainly! Let's match each expression in standard form with its equivalent expression in factored form.

1. Expression in standard form: [tex]\( 15 x^7 + 10 y^2 \)[/tex]

- Equivalent factored form: [tex]\( 5(3 x^7 + 2 y^2) \)[/tex]

2. Expression in standard form: [tex]\( x^3\left(15 x^4 y^2 + 4\right) \)[/tex]

- Equivalent factored form: [tex]\( x^3\left(15 x^4 y^2 + 4\right) \)[/tex] (This expression is already in factored form)

3. Expression in standard form: [tex]\( 15 x^7 y^2 + 3 x \)[/tex]

- Equivalent factored form: [tex]\( 3 x\left(5 x^6 y^2 + 1\right) \)[/tex]

4. Expression in standard form: [tex]\( 5(3 x^7 + 2 y^2) \)[/tex]

- Equivalent factored form: [tex]\( 5(3 x^7 + 2 y^2) \)[/tex] (This expression is already in factored form)

5. Expression in standard form: [tex]\( 15 x^7 y^2 + 4 x^3 \)[/tex]

- Equivalent factored form: [tex]\( x^3(15 x^4 y^2 + 4) \)[/tex]

6. Expression in standard form: [tex]\( 3 x y\left(5 x^6 y + 2\right) \)[/tex]

- Equivalent factored form: [tex]\( 3 x y(5 x^6 y + 2) \)[/tex] (This expression is already in factored form)

7. Expression in standard form: [tex]\( 15 x^7 y^2 + 6 x y \)[/tex]

- Equivalent factored form: [tex]\( 3 x y(5 x^6 y + 2) \)[/tex]

8. Expression in standard form: [tex]\( 3 x\left(5 x^6 y^2 + 1\right) \)[/tex]

- Equivalent factored form: [tex]\( 3 x(5 x^6 y^2 + 1) \)[/tex] (This expression is already in factored form)

Thus, the matching is as follows:

[tex]\[ \begin{align*} 15 x^7 + 10 y^2 & \quad \text{matches with} \quad 5(3 x^7 + 2 y^2) \\ x^3\left(15 x^4 y^2 + 4\right) & \quad \text{matches with} \quad x^3\left(15 x^4 y^2 + 4\right) \\ 15 x^7 y^2 + 3 x & \quad \text{matches with} \quad 3 x\left(5 x^6 y^2 + 1\right) \\ 5(3 x^7 + 2 y^2) & \quad \text{matches with} \quad 5(3 x^7 + 2 y^2) \\ 15 x^7 y^2 + 4 x^3 & \quad \text{matches with} \quad x^3(15 x^4 y^2 + 4) \\ 3 x y\left(5 x^6 y + 2\right) & \quad \text{matches with} \quad 3 x y(5 x^6 y + 2) \\ 15 x^7 y^2 + 6 x y & \quad \text{matches with} \quad 3 x y(5 x^6 y + 2) \\ 3 x\left(5 x^6 y^2 + 1\right) & \quad \text{matches with} \quad 3 x(5 x^6 y^2 + 1) \end{align*} \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.