Question Video: Writing Algebraic Expressions by Adding Two Polynomials | Nagwa Question Video: Writing Algebraic Expressions by Adding Two Polynomials | Nagwa

Question Video: Writing Algebraic Expressions by Adding Two Polynomials Mathematics • First Year of Preparatory School

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Find 𝐴 + 𝐵 given 𝐴 = 3𝑡² + 5 and 𝐵 = 2𝑡² + 6.

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Video Transcript

Find 𝐴 plus 𝐵 given 𝐴 is equal to three 𝑡 squared plus five and 𝐵 is equal to two 𝑡 squared plus six.

In order to find 𝐴 plus 𝐵, we need to add the expression for 𝐴 to the expression for 𝐵. One way to do this is to line the like terms up underneath each other. We line up the 𝑡 squared terms, and we line up the constant terms. We can then add or group the like terms. Three plus two is equal to five. Therefore, three 𝑡 squared plus two 𝑡 squared is equal to five 𝑡 squareds.

It is important to note here that the exponent or power does not change when adding or subtracting algebraic expressions. We also need to add positive five and positive six. This gives us positive 11. If 𝐴 is equal to three 𝑡 squared plus five, and 𝐵 is equal to two 𝑡 squared plus six, then 𝐴 plus 𝐵 is equal to five 𝑡 squared plus 11.

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