Multiply the polynomials using the special product formulas. Express your

kuhse4461a 2021-12-19 Answered
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.
(3x+4)(3x-4)
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Expert Answer

Bernard Lacey
Answered 2021-12-20 Author has 30 answers
Step 1
To multiply the polynomials: (3x+4)(3x-4)
Solution:
We know that when two polynomials is multiply with each other where one polynomial is sum of two terms and other polynomial is difference of same two terms then it is equal to difference of square of two terms.
Identity is:
(a+b)(ab)=a2b2
Therefore, multiplying the given polynomials.
(3x+4)(3x4)=(3x)2(4)2
=9x216
Therefore, (3x+4)(3x4)=9x216.
Step 2
Hence, product of (3x+4)(3x-4) is 9x216

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Cleveland Walters
Answered 2021-12-21 Author has 40 answers
The given expression is of the form (x+a)(x-a). So, multiply the binomials by taking the difference of squares of the terms 3x and 4.
(3x+4)(3x4)=(3x)242
Rewrite the expression using the laws of exponents and simplify.
(3x)242=32x242
=9x216
Therefore, the result is 9x216.

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