Question

expand and simplify(a+b)(a-b)

Answer 1

\[\large
(\overbrace{\overbrace{\color{orange}a
+\underbrace{\color{cornflowerblue}b)(\color{seagreen}c}_{\text{Inside}}}^{\text{First}}
+\color{brown}d}^{\text{Outside}})
=%unklerhaukus
\overbrace{\color{orange}a\color{seagreen}c}^\text F
+\overbrace{\color{orange}a\color{brown}d}^\text O
+\underbrace{\color{cornflowerblue}b\color{seagreen}c}_\text I
+\underbrace{\color{cornflowerblue}b\color{brown}d}_\text L\\
\large\qquad\quad \underbrace{\qquad\qquad}_{\text{Last}}\]

Answer 2

Please, it's necessary to apply the properties of the real numbers, in particular the distributive property of multiplication over addition, I write all the steps:
1) \[(a+b)*(a-b)=a*(a-b)+b*(a-b) \]
2)\[a*(a-b)+b*(a-b)=a*a-a*b+b*a-b*b\]
now using the commutative property of the product of real numbers, please semplify the last expression and please get your answer

Answer 3

@walchylucy please write your answer, it's simple!

Answer 4

Hint: if a, and b are two real numbers, then we have:
\[a*b=b*a\]

Answer 5

(a^2-b^2)