Answer :
To multiply the expressions [tex]\((5x + 2)(7x + 3)\)[/tex], follow these steps:
1. Distribute each term in the first bracket to each term in the second bracket.
- Multiply the first term in the first bracket by each term in the second bracket.
- [tex]\(5x \times 7x = 35x^2\)[/tex]
- [tex]\(5x \times 3 = 15x\)[/tex]
- Multiply the second term in the first bracket by each term in the second bracket.
- [tex]\(2 \times 7x = 14x\)[/tex]
- [tex]\(2 \times 3 = 6\)[/tex]
2. Add all the terms together.
Combine all the results from the multiplication steps:
[tex]\[
35x^2 + 15x + 14x + 6
\][/tex]
3. Combine like terms.
- Combine the [tex]\(x\)[/tex] terms: [tex]\(15x + 14x = 29x\)[/tex]
4. Write the final result.
The simplified expression after performing all these steps is:
[tex]\[
35x^2 + 29x + 6
\][/tex]
Therefore, the correct result of multiplying [tex]\((5x + 2)(7x + 3)\)[/tex] is [tex]\(35x^2 + 29x + 6\)[/tex].
1. Distribute each term in the first bracket to each term in the second bracket.
- Multiply the first term in the first bracket by each term in the second bracket.
- [tex]\(5x \times 7x = 35x^2\)[/tex]
- [tex]\(5x \times 3 = 15x\)[/tex]
- Multiply the second term in the first bracket by each term in the second bracket.
- [tex]\(2 \times 7x = 14x\)[/tex]
- [tex]\(2 \times 3 = 6\)[/tex]
2. Add all the terms together.
Combine all the results from the multiplication steps:
[tex]\[
35x^2 + 15x + 14x + 6
\][/tex]
3. Combine like terms.
- Combine the [tex]\(x\)[/tex] terms: [tex]\(15x + 14x = 29x\)[/tex]
4. Write the final result.
The simplified expression after performing all these steps is:
[tex]\[
35x^2 + 29x + 6
\][/tex]
Therefore, the correct result of multiplying [tex]\((5x + 2)(7x + 3)\)[/tex] is [tex]\(35x^2 + 29x + 6\)[/tex].
