Verify if a²+9a-20 Equals (a+4)(a-5): Equation Check

Question

Is the equation correct?

a2+9a20=(a+4)(a5) a^2+9a-20=(a+4)(a-5)

Video Solution

Solution Steps

00:00 Are the expressions equal?
00:03 Let's properly open parentheses and multiply each factor by each factor
00:20 Let's calculate the products
00:29 Let's compare the terms of the expressions
00:38 Let's group the factors
00:42 We can see that the expressions are not equal due to coefficient A
00:49 And this is the solution to the question

Step-by-Step Solution

We solve the right side of the equation using the extended distributive property:(a+b)×(c+d)=ac+ad+bc+bd (a+b)\times(c+d)=ac+ad+bc+bd

(a+4)(a5)=a25a+4a20 (a+4)(a-5)=a^2-5a+4a-20

a2a20 a^2-a-20

That is, answer D is the correct one.

Answer

No, a -a instead of +9a +9a