Question

Multiply the binomials. $$(7 x-3)(4-7 x)$$

   Multiply the binomials.
$$(7 x-3)(4-7 x)$$

College Algebra with Modeling and Visualization

College Algebra with Modeling and Visualization

Gary K. Rockswold 4th Edition

Chapter 0, Problem 58

Instant Answer

Solved by Expert Julie Silva

04/14/2021

Step 1

This gives us: \[7x \cdot 4 + 7x \cdot -7x -3 \cdot 4 -3 \cdot -7x\] Show more…

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Multiply the binomials. $$(7 x-3)(4-7 x)$$

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Key Concepts

Binomial Multiplication

Binomial multiplication involves applying the distributive property to expand the product of two two-term expressions. This process ensures that every term in the first binomial is multiplied by every term in the second, giving a complete expansion that can then be simplified.

Distributive Property

The distributive property is a fundamental algebraic principle stating that multiplying a sum by a number is the same as doing each multiplication separately and then adding the results. It is used to expand the product of polynomials by distributing one term over the terms of another expression.

Combining Like Terms

Combining like terms is a process used during or after polynomial expansion where terms with the same variables raised to the same power are merged by adding their coefficients. This simplification leads to a more concise and easily interpretable expression.

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