Answer:
1. [tex]2(x+2)(x+5)[/tex]
2. [tex]8(x+4)^{2}[/tex]
Step-by-step explanation:
Problem #1:
1. Find the GCF (Greatest Common Factor)
[tex]GCF = 2[/tex]
2. Factor out the GCF and simplify.
[tex]2(x^{2} +7x+10)[/tex]
3. Factor [tex]x^{2} +7x+10[/tex]
Which two numbers add up to 7 and multiply to 10?
2 and 5
Rewrite the expression using the above.
[tex](x+2)(x+5)[/tex]
4. Done!
[tex]2(x+2)(x+5)[/tex]
Problem #2:
1. Find the GCF (Greatest Common Factor)
[tex]GCF=8[/tex]
2. Factor out the GCF and simplify.
[tex]8(x^{2} +8x+16)[/tex]
3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]
[tex]a = x\\b=4[/tex]
[tex](x+4)^{2}[/tex]
4. Done!
[tex]8(x+4)^{2}[/tex]
