Here are the essential concepts you must grasp in order to answer the question correctly.
Factoring Difference of Squares
The expression (a - b)(a + b) represents the difference of squares, which simplifies to a² - b². In this case, a is 5 and b is 7x. Recognizing this pattern allows for a quick and efficient way to multiply the two binomials without distributing each term individually.
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Binomial Multiplication
Binomial multiplication involves multiplying two binomials, which can be done using the distributive property or the FOIL method (First, Outside, Inside, Last). This method ensures that all combinations of terms from both binomials are accounted for, leading to the correct product.
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Finding Zeros & Their Multiplicity
Combining Like Terms
After multiplying the binomials, the resulting expression may contain like terms, which are terms that have the same variable raised to the same power. Combining these terms simplifies the expression, making it easier to interpret and use in further calculations.
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