Download - Quadratic Expressions and Equations Expanding quadratic expressions using the grid method (C)
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Quadratic Expressions and Equations
Expanding quadratic expressions using the grid method (C)
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Expanding using the Grid Method
(x + 4)(x + 3)
x² + 4x + 3x + 12
x² + 7x + 12
Exam
ple
s
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.
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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
Exam
ple
s
x + 2
x
- 5
x² + 2x
- 5x - 10
+ × - = -
Multiply each term (just like normal grid multiplication)
![Page 4: Quadratic Expressions and Equations Expanding quadratic expressions using the grid method (C)](https://reader036.vdocuments.us/reader036/viewer/2022082817/56649dba5503460f94aaab3d/html5/thumbnails/4.jpg)
Add together.
Simplify.
Expanding using the Grid Method
(4x + 3)(2x + 4)
8x² + 6x + 16x + 12
8x² +24x + 12
Exam
ple
s
4x + 3
2x
+ 4
8x² + 6x
+ 16x
+ 12
4x × 2x = 8x²(multiply)
Multiply each term.
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Add together.
Simplify.
Expanding using the Grid Method
(6x + 2)(4x - 3)
24x² + 8x - 18x - 6
24x² - 10x - 6
Exam
ple
s
6x + 2
4x
- 3
24x² + 8x
- 18x - 6
Multiply each term.