-(6p%5E2%2B13p).jpeg "(p+7)-(6p^2+13p)")
Simplifying the Expression: (p+7)-(6p^2+13p)
This article will guide you through simplifying the algebraic expression (p+7)-(6p^2+13p).
Understanding the Expression
The expression consists of two terms:
- (p+7): This is a binomial with two terms, p and 7.
- (6p^2+13p): This is also a binomial with two terms, 6p^2 and 13p.
We are asked to simplify the expression by subtracting the second binomial from the first.
Simplifying the Expression
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Distribute the negative sign: Since we are subtracting the second binomial, we need to distribute the negative sign to each term inside the parentheses. This gives us: (p+7) + (-1)(6p^2+13p)
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Simplify: Multiplying -1 with each term in the second binomial, we get: (p+7) - 6p^2 - 13p
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Combine like terms: Combine the 'p' terms and the constant terms: -6p^2 + (p-13p) + 7 -6p^2 - 12p + 7
Final Simplified Expression
Therefore, the simplified form of the expression (p+7)-(6p^2+13p) is -6p^2 - 12p + 7.