Question

Which statements are true? Select each correct answer. A. 24g4+18g2=6g2(4g2+3g) B. 9g3+12=3(3g3+4) C. 4g2−g=g2(4−g) D.35g5− 5g2=5g2(7g3−5)

Answer 1

The given statements are:

A)Factoring the given terms by taking common factor we have:

$24g^{4} +18g^{2} = 6g^{2} (4g^{2} +3)$

B) Factoring the given terms by taking common factor we have:

$9g^{3} +12 =3(g^{3} +4)$

c)Factoring the given terms by taking common factor we hav:

e :$4g^{2} -g =g(4g-1)$

d)Factoring the given terms by taking common factor we have:

$35g^{5} -5g^{2} =5g^{2} (7g^{3} -1)$

Factoring the above results we see in option B left side and right side are same .

Option B is the right answer.

Answer 2

35g^5 - 25g^2 = 5g^2 (7g^3-5)

9g^3 + 12 = 3 (3g^3 + 4)