Question

Can somebody help me (puppy eyes)?

Find the greatest common factor of each group of terms.
1. 48, 36x
2.42a, 28a^2
3.70x^2, 84x, 42x^3
4.24x62, 42xy^2, 66xy^3
5.60a62b^5, 140a^9, 40a^3b^6

Factor out the greatest common factor in each expression.

1.42wz+28wa
2.6x^3-12x^2+18x
3.36a^3b^6-24a^4b^2+60a^5b^3
4.(x-6)a+(x-6)b
5.(y-1)^2y+(y-1))^2z

Answer 1

So many numbers my brain can't function O.o

Answer 2

\(\large\textbf{Part 1}\)
1. 16
2. 14a
3. 14x
...
To find the answers, one way is to factor each term completely. For example, in group 3,
\[\begin{split}
70x^2 &= 2\cdot5\cdot7\cdot x\cdot x\\
84x &= 2\cdot2\cdot3\cdot7\cdot x\\
42x^3 &= 2\cdot3\cdot7\cdot x\cdot x\cdot x
\end{split}\]You see that they have precisely one factor 2 in common, no factor 3 (because the first one doesn't have one), no factor 5, precisely one factor 7 and precisely one factor x. Multiply the common factors 2*7*x to get the answer.

\(\large\textbf{Part 2}\)
Do the same thing as in Part 1 except that you also divide each term by the greatest common factor. For example, in expression 1, the gcf is 14w, so the answer is \(14w(\frac{42wz}{14w}+\frac{28wa}{14w}) = 14w(3z+2a)\)

Answer 3

Sorry, in 1.1 the answer should be 12, not 16.

Answer 4

@JoelSjogren Thank You :*

Answer 5

No problem

Answer 6

@JoelSjogren I have a hard time answering number 4 and 5 on part 2 :(

Answer 7

Me too sorry. The question is vague. Either (x-6)a+(x-6)b = (x-6)(a+b) is the answer or (x-6)a+(x-6)b = ax-6a+bx-6b is.

Answer 8

this is (puppy eyes) :P
\(\huge\cal\color{pink}{^❤ _❤❤(✪㉨✪) _❤❤^❤_❤}\)