The blank in the statement “The special product formula for “product of the sum and difference of terms” is ( A + B ) ( A − B ) = _ _ _ _ _ _ . So ( 5 + x ) ( 5 − x ) = _ _ _ _ _ ”.

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 4E
To determine

Expert Solution

Answer to Problem 4E

The complete statement is “The special product formula for “product of the sum and difference of terms” is (A+B)(AB)=A2B2_. So (5+x)(5x)=(25x2)_”.

Explanation of Solution

Formula used:

If A and B are two real numbers then the special product formula for the “product of the sum and difference of terms” is (A+B)(AB)=A2B2.

Calculation:

The given expression is (5+x)(5x) which of the form (A+B)(AB) where A=5,B=x.

Substitute A=5,B=x in (A+B)(AB)=A2B2 as follows:

(5+x)(5x)=(5)2(x)2=25x2

Therefore, the complete statement is “The special product formula for “product of the sum and difference of terms” is (A+B)(AB)=A2B2_. So (5+x)(5x)=(25x2)_”.

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