Lambert Cervantes
06/19/2024 · Senior High School
Use the FOIL method to multiply the binomials. \[ (x-5 y)(3 x+5 y) \] \( (x-5 y)(3 x+5 y)=\square \) (Simplify your answer.)
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Step-by-step Solution
Calculate or simplify the expression \( (x-5y)*(3x+5y) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(x-5y\right)\left(3x+5y\right)\)
- step1: Apply the distributive property:
\(x\times 3x+x\times 5y-5y\times 3x-5y\times 5y\)
- step2: Multiply the terms:
\(3x^{2}+5xy-15xy-25y^{2}\)
- step3: Subtract the terms:
\(3x^{2}-10xy-25y^{2}\)
The product of the binomials \((x-5y)(3x+5y)\) using the FOIL method is \(3x^{2}-10xy-25y^{2}\).
Quick Answer
\(3x^{2}-10xy-25y^{2}\)
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