Quadratic Expressions and Equations Expanding quadratic expressions using the grid method (C)

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Presentation transcript:

Quadratic Expressions and Equations Expanding quadratic expressions using the grid method (C)

Expanding using the Grid Method (x + 4)(x + 3) x² + 4x + 3x + 12 x² + 7x + 12 Examples x+ 4 x + 3 x² + 4x + 3x+ 12 A really common mistake here is adding 4 and 3 instead of multiplying them. Multiply each term (just like normal grid multiplication) Then add together the terms inside the grid. Finally, simplify your answer by collecting like terms.

Then add together the terms inside the grid. Finally, simplify your answer by collecting like terms. Expanding using the Grid Method (x + 2)(x - 5) x² + 2x - 5x - 10 x² - 3x - 10 Examples x+ 2 x - 5 x² + 2x - 5x × - = - Multiply each term (just like normal grid multiplication)

Add together. Simplify. Expanding using the Grid Method (4x + 3)(2x + 4) 8x² + 6x + 16x x² +24x + 12 Examples 4x+ 3 2x + 4 8x² + 6x + 16x+ 12 4x × 2x = 8x² (multiply) Multiply each term.

Add together. Simplify. Expanding using the Grid Method (6x + 2)(4x - 3) 24x² + 8x - 18x x² - 10x - 6 Examples 6x+ 2 4x x² + 8x - 18x- 6 Multiply each term.