Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Factor the expression completely:

[tex]35x^2 + 63x^4[/tex]

Answer :

To factor the expression [tex]\(35x^2 + 63x^4\)[/tex] completely, you can follow these steps:

1. Identify the Greatest Common Factor (GCF):
- Look at the coefficients: 35 and 63. The GCF here is 7.
- For the variable part, both terms contain [tex]\(x^2\)[/tex]. So, the GCF for the variable part is [tex]\(x^2\)[/tex].

2. Factor Out the GCF:
- The GCF of the expression is [tex]\(7x^2\)[/tex].
- When you factor [tex]\(7x^2\)[/tex] out of each term in the expression, you divide each term by [tex]\(7x^2\)[/tex].

3. Rewrite Each Term:
- First term: [tex]\(35x^2\)[/tex] divided by [tex]\(7x^2\)[/tex] gives 5.
- Second term: [tex]\(63x^4\)[/tex] divided by [tex]\(7x^2\)[/tex] gives [tex]\(9x^2\)[/tex].

4. Write the Factored Expression:
- Combine the results of dividing each term by the GCF:
[tex]\[
35x^2 + 63x^4 = 7x^2(5 + 9x^2)
\][/tex]

The completely factored expression is:
[tex]\[
7x^2(9x^2 + 5)
\][/tex]