In this lesson, we will learn about the difference of two squares. We will investigate the pattern of results when considering multiplying out brackets of the general form (x+a)(x-a).
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Choose the word which best fills the gap: When we ________ double brackets every term in the first bracket must be multiplied by every term in the second bracket.
divide
Correct answer: expand
expand
express
factorise
Q2.
Expand and simplify (x+2)(x+5)
18x²
x² + 10
x² + 17x
Correct answer: x² + 7x + 10
x² + 7x + 10
Q3.
Expand and simplify (x+2)(x-5)
x² - 10
Correct answer: x² - 3x - 10
x² - 3x - 10
x² - 7x + 10
x² + 3x + 10
Q4.
Expand and simplify 2(x+3)-2(x+5)
Correct answer: -4
-4
-4x
2x² - 6x + 20
None of the answers above.
Q5.
A rectangle has side lengths (x+4) and (x-3). Match the expression that would represent it's area.
20x²
x² - x + 12
x² + 7x - 12
Correct answer: x² + x - 12
x² + x - 12
Q6.
Yasmin expanded (a + x + 3)(x + 2). Below are her workings out. Which expression matches the area of the rectangle she has created?