Simplify or factor each expression and then match the equivalent expressions
![Simplify or factor each expression and then match the equivalent expressions class=](https://us-static.z-dn.net/files/d38/88e3204fe41098894dba369e18e8ef63.png)
Answer:
Step-by-step explanation:
1. [tex]4(2x^{2}+3y^{2})^{2}[/tex]
=[tex]4(4x^{4}+9y^{4}+12x^{2}y^{2})[/tex]
= [tex]16x^{4}+36y^{4}+48x^{2}y^{2}[/tex]
2. [tex]4(2x^{2}+3y^{2})(2x^{2}-3y^{2})[/tex]
=[tex]4((2x^{2})^{2}-(3y^{2})^{2})[/tex]
=[tex]4(4x^{4}-9y^{4})[/tex]
= [tex]16x^{4}-36y^{4}[/tex]
3. [tex](4x-5)(16x^{2}+20x+25)[/tex]
=[tex]64x^{3}-80x^{2}+80x^{2}-100x+100x-125[/tex]
= [tex]64x^{3}-125[/tex]
Answer:
4(2x^2+3y^2)^2 = 16x^4 + 48x^2y^2 + 36y^4
(4x-5)(16x^2 + 20x + 25) = 64x^3 - 125
4 ( 2x^2 + 3y^2)(2x^2 - 3y^2) = 16x^4 -36y^4
Step-by-step explanation: