Question

Express as a polynomial. $$(5 x-4 y)^{2}$$

   Express as a polynomial.
$$(5 x-4 y)^{2}$$

Precalculus: Functions and Graphs

Precalculus: Functions and Graphs

Earl W. Swokowski,… 11th Edition

Chapter 1, Problem 8

Instant Answer

Solved by Expert Raushan Kumar

10/18/2020

Step 1

The general formula for the square of a binomial is $(a-b)^2 = a^2 - 2ab + b^2$. Show more…

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Express as a polynomial. $$(5 x-4 y)^{2}$$

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Key Concepts

Square of a Binomial

This concept involves the algebraic identity (a - b)² = a² - 2ab + b² (or (a + b)² = a² + 2ab + b²). It is used to expand the square of a binomial into a polynomial form by squaring the first term, adding or subtracting twice the product of the two terms, and then adding the square of the second term.

Polynomial Expression

A polynomial is an expression consisting of variables and coefficients, combined using only addition, subtraction, multiplication, and non-negative integer exponents. Expressing an expression as a polynomial involves organizing it into a sum of terms, each being a coefficient times a variable raised to an exponent.

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