Factor and explain:
34. 8a+12b
35. 18x+6y+12
36. 3+12b+36a
37. 8a+4+12c
34.
8a+12b
=12(2.9+b)
You could now try the rest and post your results for checking.
37. The only common factor is 4.
8a+4+12c = 4(2a + 3c + 1)
The others are similar. Try them yourself.
34. 34.8b
34. 4(2a+3c+1)
35. 3(6x+2y+4)
36. 3(1+4b+12a)
37. 2(4a+6c+2)
Sorry, my #34 is not correct. I remember seeing the expression from another question. I have probably put it in the wrong response.
#34 should be
8a+12b
=4(2a+3b)
I do not know from where the "+1" in your response came.
#35
you have missed out another factor of 2.
#36 basically correct, although I prefer to order the terms in alphabetical order of the variables, like:
3(12a+4b+1)
#37
Factorization not complete.
Give it another try. You're getting there.
To factor the given expressions, we need to look for any common factors that can be factored out of the terms. Let's go through each expression step-by-step and explain the factoring process:
34. 8a + 12b:
Since both terms have a common factor of 4, we can factor it out:
8a + 12b = 4(2a + 3b)
35. 18x + 6y + 12:
There are no common factors among the terms, but we can still factor out a common factor of 6 from all the terms:
18x + 6y + 12 = 6(3x + y + 2)
36. 3 + 12b + 36a:
Among the terms, the only common factor is 3. So we can factor it out:
3 + 12b + 36a = 3(1 + 4b + 12a)
37. 8a + 4 + 12c:
The terms in this expression do not share a common factor, but we can rearrange them to group the similar terms together:
8a + 4 + 12c = 8a + 12c + 4
Remember that factoring is essentially rearranging the terms to highlight any common factors they might share. In some cases, like expression 37, rearranging the terms might not result in any common factors to factor out, but it can still make the expression look more organized.