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1 lesson for “Completing the square”

Completing the square · Further topics

A perfect square like (x + 3)^2 is easy to solve. Completing the square builds one on purpose, right in the middle of an equation.

Punnett squares · Foundations

You said each parent donates both of its alleles. The two alleles separate, and each parent passes on just one for the trait.

Difference of two squares · Further topics

x^2 - 36 looks like an ordinary binomial, but it carries a special pattern. A difference of two squares always factors into a sum times a difference.

The Pythagorean theorem · Foundations

Frida found the hypotenuse of a right triangle with legs 6 and 8 by adding 6 + 8 = 14. The lengths must be squared first.

Simplifying rational expressions · Further topics

A fraction like this simplifies only after you factor the top and the bottom. Cancellation happens between factors, never between single terms.

Function notation · Further topics

f(x) is a rule with a name, not multiplication. f(-2) means: feed -2 into the rule and see what comes out.

Neutralization reactions · Further topics

Acid and base do not vanish. Their ions trade partners and become a salt and water. Fill in the two products.

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