Maths-
General
Easy
Question
5x2 - 3(1 - x) - 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
- 3x2 - 7x - 3
- 3x2 + 7x - 3
- 5x2 - 5x - 3
- 5x2 - 9x - 3
The correct answer is: 3x2 - 7x - 3
HINT: Use the distributive property and simplify.
Complete step by step solution:
Given expression is 5x2 - 3(1 - x) - 2x(x + 5).
Distributive property states that a(b + c) = ab + ac
After applying this property,
we get the given expression as 5x2 - 3 + 3x - 2x2 - 10x.
On simplification, we get 3x2 - 7x - 3.
Hence option A is the correct answer.
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