Example

Title: Equivalent expressions

Grade: 1300-a Lesson: S1-L5

Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Simplify the expression (2x - 3)(x + 4) + 5(x + 2).

Step 1a

Expanding the first term, we get:

2x(x) + 2x(4) - 3(x) - 3(4)

Simplifying further:

\$ 2x^2 + 8x - 3x - 12\$

Now, expanding the second term:

5(x + 2) = 5x + 5(2)

Simplifying: 5x + 10

Now let’s add the results of the first and second expansions:

\$ 2x^2 + 8x - 3x - 12 + 5x + 10 \$

Adding the like terms:

\$ 2x^2 + 10x - 2 \$

Explanation: We simplified the terms inside each bracket and then added similar terms together. This gave us the simple expression: \$ 2x^2 + 10x - 2 \$.


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