What is the missing term in the factorization?

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2 Answers
May 20, 2018

Answer:

4

Explanation:

#" "18x^2-32#

#=2(9x^2-16)# --- notice this is a difference of perfect squares.

difference of perfect squares rule: #a^2-b^2 = (a+b)(a-b)#

#=2(9x^2-16)#

#=2(3x+4)(3x-4))#

so the missing term is #4#

May 20, 2018

Answer:

The missing value is #y=4#, see explanations below.

Explanation:

#18x²-32=2(3x+y)(3x-4)#
#2(9x²-16)=2(3x+4)(3x-4)#
#2((3x)²-4²)=2(3x+4)(3x-4)#
Because #a²-b²=(a+b)(a-b)#,
#2(3x+4)(3x-4)=2(3x+y)(3x-4)#
By identification, we can clearly see that the missing value is #y=4#
\0/ here's our answer!