Question

Multiply. $$(0.1 m-0.41)(0.1 m+0.41)$$

   Multiply. $$(0.1 m-0.41)(0.1 m+0.41)$$

Prealgebra

Tom Carson 4th Edition

Chapter 6, Problem 52

Instant Answer

Solved by Expert Karly Williams

05/06/2020

Step 1

The formula for the difference of squares is $a^{2} - b^{2} = (a+b)(a-b)$. Show more…

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Multiply. $$(0.1 m-0.41)(0.1 m+0.41)$$

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Key Concepts

Polynomial Multiplication

Polynomial multiplication involves the use of the distributive property (or the FOIL method for binomials) to expand products of expressions. It requires multiplying each term in one polynomial by every term in the other and then combining like terms to simplify the result.

Difference of Squares

The difference of squares is an important algebraic identity stating that multiplying two conjugate expressions, (a - b)(a + b), results in a squared minus b squared (a² - b²). This identity simplifies many algebraic computations and is frequently used in factoring and simplifying expressions.

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