[tex] \small \rm \purple{Simplifying \: polynomials \: using \: FOIL \: METHOD}[/tex]
[tex] \\ [/tex]
[tex] \large \bold{SOLUTION:}[/tex]
[tex] \tt \red{(2x + y) \times (2x - y)}[/tex]
- Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
[tex] \tt{ \red{2x \times 2x} - 2xy + 2xy - y \times y}[/tex]
[tex] \tt{4x {}^{2} - \red{ 2xy + 2xy }- y {}^{2} }[/tex]
- Since two opposites add up to zero, remove them from the expression
[tex] = \tt \bold \green { 4x {}^{2} - y {}^{2} }[/tex]
[tex]\huge\bold{——————————}[/tex]
[tex] \large \bold{ANSWER:}[/tex]
• 4x² – y²
[tex] \\ \\ \\ [/tex]
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