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Teachers & SchoolsACT Math: Elementary Algebra Drill 4, Problem 5. What is the solution to the problem shown?

ACT Math | Elementary Algebra |

ACT Mathematics | Elementary Algebra |

Elementary Algebra | Polynomial basic operations |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Intermediate Algebra | Roots of polynomials |

Language | English Language |

Polynomials | Factoring Polynomials |

Product Type | ACT Math |

No, not how super-terrific and all-over groovy we happen to be,

but how tidy we are in terms of organizing our brute force methods of multiplying distributions.

Start with just the quantity x minus 1 times the quantity x minus 1.

Follow the arrows and we get x times x which is x squared

x times 1 which is x

... then negative 1 times x, which is negative x.

then negative 1 times 1, which is 1.

Now we just take the quantity x minus 1 and multiply it by the simplified x squared minus 1.

We get x times x squared, which is x cubed and note that since we have a cubed here,

we can eliminate 2 of the potential answers.

Now we've got x squared times negative 1, which is negative x squared,

then negative 1 times x which is negative x,

and finally negative 1 times negative 1 which is positive 1.

So the answer is right here: C.

Neat-o.