To multiply: the given binomial using FOIL method. (23a−b2)(23a2+b2)

Step 1&nbsp;We must examine the claim that the population mean score in anthropology differs from 492 in this particular hypothesis case.F stands for the product of first terms.&nbsp;O stands for the product of outer terms.&nbsp;I stand for the product of inner terms.&nbsp;L stands for the product of last terms.&nbsp;The given equation is&nbsp;(23a−b2)(23a2+b2)&nbsp;Now, multiply the given binomial usinf FOIL method,&nbsp;(23a−b2)(23a+b2)&nbsp;=(23a)(23a)+(23a)(b2)+(−b2)(23a)+(b2)(−b2)&nbsp;(23a−b2)(23a2+b2)&nbsp;=49a2+23ab2−23ab2−b4&nbsp;(23a−b2)(23a2+b2)=49a2−b4&nbsp;Hence, the multiplication of the given binomial is&nbsp;(23a−b2)(23a2+b2)=49a2−b4

"To multiply: the given binomial using FOIL method...." was answered by students like you

High School
Algebra
Algebra I
Algebra foundations

varaderiyw

Answered question

2021-11-23

To multiply: the given binomial using FOIL method.

(\frac{2}{3} a - b^{2}) (\frac{2}{3} a^{2} + b^{2})

Answer & Explanation

Sevensis1977

Beginner2021-11-24Added 15 answers

Step 1
We must examine the claim that the population mean score in anthropology differs from 492 in this particular hypothesis case.
F stands for the product of first terms.
O stands for the product of outer terms.
I stand for the product of inner terms.
L stands for the product of last terms.
The given equation is
$(\frac{2}{3} a - b^{2}) (\frac{2}{3} a^{2} + b^{2})$
Now, multiply the given binomial usinf FOIL method,
$(\frac{2}{3} a - b^{2}) (\frac{2}{3} a + b^{2})$
$= (\frac{2}{3} a) (\frac{2}{3} a) + (\frac{2}{3} a) (b^{2}) + (- b^{2}) (\frac{2}{3} a) + (b^{2}) (- b^{2})$
$(\frac{2}{3} a - b^{2}) (\frac{2}{3} a^{2} + b^{2})$
$= \frac{4}{9} a^{2} + \frac{2}{3} a b^{2} - \frac{2}{3} a b^{2} - b^{4}$
$(\frac{2}{3} a - b^{2}) (\frac{2}{3} a^{2} + b^{2}) = \frac{4}{9} a^{2} - b^{4}$
Hence, the multiplication of the given binomial is
$(\frac{2}{3} a - b^{2}) (\frac{2}{3} a^{2} + b^{2}) = \frac{4}{9} a^{2} - b^{4}$

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Algebra I

Didn't find what you were looking for?