(1−5z)(2−5z) In Standard Form

Jasonbradley

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Jun 16, 2024

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Expanding (1−5z)(2−5z) into Standard Form

This article will guide you through expanding the expression (1−5z)(2−5z) into standard form.

Understanding Standard Form

Standard form for a polynomial refers to arranging its terms in descending order of their exponents. For example, the standard form of a quadratic expression would be ax² + bx + c, where a, b, and c are coefficients.

Expanding the Expression

We can expand the expression (1−5z)(2−5z) using the distributive property (also known as FOIL method):

(1−5z)(2−5z) = (1 * 2) + (1 * -5z) + (-5z * 2) + (-5z * -5z)

Simplifying the multiplication, we get:

2 - 5z - 10z + 25z²

Arranging in Standard Form

Combining like terms and arranging in descending order of exponents, we get:

25z² - 15z + 2

Therefore, the standard form of (1−5z)(2−5z) is 25z² - 15z + 2.