Video: Adding Two Algebraic Expressions

Find 𝐴 + 𝐡 given 𝐴 = 5𝑠³ βˆ’ 3𝑠 and 𝐡 = βˆ’6𝑠² + 3𝑠.

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Video Transcript

Find 𝐴 plus 𝐡 given 𝐴 is equal to five 𝑠 cubed minus three 𝑠 and 𝐡 is equal to negative six 𝑠 squared plus three 𝑠.

In order to work out 𝐴 plus 𝐡, we need to add five 𝑠 cubed minus three 𝑠 and negative six 𝑠 squared plus three 𝑠. Adding negative six 𝑠 squared plus three 𝑠 can be rewritten as minus six 𝑠 squared plus three 𝑠.

We now need to group or collect the like terms. The only two terms with the same exponent or index of 𝑠 are negative three 𝑠 and positive three 𝑠. Negative three 𝑠 plus three 𝑠 is equal to zero. Therefore, these two terms cancel. This means that 𝐴 plus 𝐡 is equal to five 𝑠 cubed minus six 𝑠 squared, where 𝐴 was five 𝑠 cubed minus three 𝑠 and 𝐡 was negative six 𝑠 squared plus three 𝑠.

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