Questions about the Sum and Difference of Cubes poster

What’s on the Sum and Difference of Cubes poster?

The rule, 4 worked examples, and the mistake everyone makes. Both a sum and a difference of cubes factor. The signs follow a fixed pattern.; a³ ± b³ = (a ± b)(a² ∓ ab + b²); x³ + 8 = (x+2)(x² − 2x + 4); x³ − 27 = (x−3)(x² + 3x + 9); 8x³ + 125 = (2x+5)(4x² − 10x + 25); Signs = Same, Opposite, Always Positive; Common mistake: x³ + 8 = (x+2)(x+2)(x+2) → (x+2)(x² − 2x + 4). Unlike squares, a SUM of cubes does factor. That asymmetry catches people out.

Who is the Sum and Difference of Cubes poster for?

Sum and Difference of Cubes is filed under 10th Grade (ages 15–16), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.

When should you use the Sum and Difference of Cubes poster?

SOAP: Same, Opposite, Always Positive — the three signs in order. A wall chart earns its place by being glanceable from where the work is happening, so Sum and Difference of Cubes belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.

What other posters go with Sum and Difference of Cubes?

Sequences and Series, Circle Theorems and Completing the Square sit alongside Sum and Difference of Cubes in the 10th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Sequences and SeriesCircle TheoremsCompleting the Square

Is the Sum and Difference of Cubes poster free to download and print?

Yes. Sum and Difference of Cubes downloads as a free PDF with no account, no email and no watermark, like everything else in the 10th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence

What size does the Sum and Difference of Cubes poster print at?

Sum and Difference of Cubes is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Sum and Difference of Cubes loses nothing.Printing guide