Question

Subtract 3x-7x³+5x² from the sum of 2 + 8x²-x³ and 2x³-3x²+x+2​

Answer 1

2(4x³ -x +2).

• Addition, subtraction, multiplication, and division are the four fundamental mathematical operations that can be applied to algebraic expressions or equations. Algebraic expression addition and subtraction are almost identical to addition and subtraction of numbers. However, an algebraic expression is made up of a combination of variables, constants, and operators. Algebraic expressions, however, require that like terms and dissimilar terms be grouped together.
• Since addition and subtraction can only be performed on like terms, understanding like and unlike terms is essential for studying addition and subtraction of algebraic expressions. Like terms are those in which the variables and their exponents are the same, whereas unlike ones have distinct variables.

According to the given information, we have to add 2 + 8x²-x³ and 2x³-3x²+x+2​ and then subtract 3x-7x³+5x² from the sum.

Now, 2 + 8x²-x³ + 2x³-3x²+x+2 = x³ + 5x² + x +4.

Now, subtracting 3x-7x³+5x² from the sum, we get,

x³ + 5x² + x +4 - 3x + 7x³- 5x² = 8x³ -2x +4 = 2(4x³ -x +2)

Hence, the answer is 2(4x³ -x +2).

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