Question
a) \( a x+3 a+2 x+6 \) b) \( 2 x^{2}+4 x y-3 x y-6 y^{2} \) a) \( a^{3}-4 a^{2}-4 a+16 \)
Ask by Crawford Johnston. in South Africa
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a) \( ax + 3a + 2x + 6 \)
b) \( 2x^{2} + xy - 6y^{2} \)
c) \( a^{3} - 4a^{2} - 4a + 16 \)
Solution
Simplify the expression by following steps:
- step0: Solution:
\(ax+3a+2x+6\)
Calculate or simplify the expression \( a^3 - 4*a^2 - 4*a + 16 \).
Simplify the expression by following steps:
- step0: Solution:
\(a^{3}-4a^{2}-4a+16\)
Calculate or simplify the expression \( 2*x^2 + 4*x*y - 3*x*y - 6*y^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(2x^{2}+4xy-3xy-6y^{2}\)
- step1: Subtract the terms:
\(2x^{2}+xy-6y^{2}\)
Here are the simplified forms of the given expressions:
a) For the expression \( a x + 3 a + 2 x + 6 \):
- The simplified form is \( ax + 3a + 2x + 6 \).
b) For the expression \( 2 x^{2} + 4 x y - 3 x y - 6 y^{2} \):
- The simplified form is \( 2x^{2} + xy - 6y^{2} \).
c) For the expression \( a^{3} - 4 a^{2} - 4 a + 16 \):
- The expression remains as \( a^{3} - 4a^{2} - 4a + 16 \) since it cannot be simplified further.
If you need any further assistance or additional calculations, feel free to ask!
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Simplify this solution Mind Expander
Did you know that the expression \( ax + 3a + 2x + 6 \) can be simplified by rearranging and combining like terms? It becomes \( (a + 2)x + (3a + 6) \). This can make your math life so much easier when dealing with equations—just group and conquer those terms! Now, let’s talk about the polynomial \( 2x^{2} + 4xy - 3xy - 6y^{2} \). You can simplify it to \( 2x^{2} + xy - 6y^{2} \). This is a common practice when working with polynomials to identify any factoring or factoring techniques that might come in handy later on!
