Answer:
0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Distributive Property
Algebra I
Step-by-step explanation:
Step 1: Define
Identify
(-5x + 6x²) - (6x² - 5x)
Step 2: Simplify
Answer:
❊ [tex] \large{ \tt{STEP - BY - STEP \: EXPLANATION}} : [/tex]
♡ Firstly , Here are some of the questions & their answers which should be known before simplifying the given expression :
Q. Do I have to change the sign of each term of second expression while subtracting ?
Ans : Yep! While subtracting , sign of each term of the second expression changes whereas In addition , sign of each term in the expressions remains unchanged.
Q. What do you mean by Like terms & Unlike terms ?
Ans : Well , Like terms are those which have the same base whereas Unlike terms are those which have the different base [ For eg : In 4x , 2y , 3x & 4y , 4x & 3x are like terms and 2y and 4y are like terms ]. Also Remember : Only coefficients of like terms can be added or subtracted.
The Question / Answer part ends up here. Now , Let's get started for simplifying the given expression :
[tex] \large{ \bf{❊ \: ( - 5 {x}^{} + 6 {x}^{2} ) - (6 {x }^{2} - 5x)}}[/tex]
[tex] \large{ \bf{ ↬ \: - 5x + 6 {x}^{2} - 6 {x}^{2} + 5x}}[/tex]
[tex] \large{ \bf{↬ - 5x + 5x + 6 {x}^{2} - 6 {x}^{2} }}[/tex]
-Here , We can see the like terms with different signs. So, they cancel out each other.
[tex] \large{ \bf{↬ \: \cancel{5x} + \cancel{5x}} + \cancel{6 {x}^{2}} - \cancel{6 {x}}^{2} }[/tex]
-We're left with nothing , So the answer would be ' 0 ' .
[tex] \boxed{ \large{ \bf{↬0}}}[/tex]
[tex] \boxed{ \boxed {\large{ \tt{⟿ \: OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{0}}}}}}}[/tex]
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