Get the answer to "Multiply the polynomials using the special product formulas...."

Secondary
Algebra
Algebra II
Polynomial factorization

Madeline Lott Answered2021-12-27

Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form. (5x - 3)(5x + 3)

Answer & Explanation

Beverly Smith Expert2021-12-28Added 42 answers

Step 1 Given expression: (5x - 3)(5x + 3) Step 2 We know that

(a + b) (a - b) = a^{2} - b^{2}

(5 x - 3) (5 x + 3) = {(5 x)}^{2} - 3^{2}

(5 x - 3) (5 x + 3) = 25 x^{2} - 9

ol3i4c5s4hr

Expert

2021-12-29Added 48 answers

(5x-3)(5x=3)
Use the special product

(a - b) (a + b) = a^{2} - b^{2}

, so

(5 x - 3) (5 x + 3) = {(5 x)}^{2} - {(- 3)}^{2}

Simplify

(5 x - 3) (5 x + 3) = 25 x^{2} - 9

Result:

25 x^{2} - 9

Vasquez

Expert

2022-01-09Added 457 answers

Given product is (5x-3)(5x+3)
It is the product of sum and difference of two terms
$(a + b) (a - b) = a^{2} - b^{2}$
To find the given product use the above formula
$(5 x - 3) (5 x + 3) = (5 x)^{2} - 3^{2}$
$= 25 x^{2} - 9$
Hence the required product is $25 x^{2} - 9$