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Establish the second identity (𝑎 – 𝑏)(𝑎+𝑏) using the distributive property.
𝑎^2+𝑎𝑏 – 𝑏𝑎 – 𝑏^2
Establish the first identity (𝑎+𝑏)^2 using areas.
Explanation
expand (a + b)(c + d)
ac+ad+bc+bd
remove brackets: – (a + b)
-a-b
operate 𝑥×𝑥= ---.
x^2
operate 𝑥+𝑥= ---.
2𝑥
expand
4𝑤^2 – 121
expand
25𝑐^2 – 30𝑐+9
expand
4𝑥^2+20𝑥+25
expand
𝑡^2 – 10𝑡 +25.
expand
x^2+8x+16