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find the product and simplify. $(5a - 1)(5a + 5)$

Question

find the product and simplify.
$(5a - 1)(5a + 5)$

Explanation:

Step1: Apply FOIL method

Multiply First terms: $5a \times 5a = 25a^2$
Multiply Outer terms: $5a \times 5 = 25a$
Multiply Inner terms: $-1 \times 5a = -5a$
Multiply Last terms: $-1 \times 5 = -5$
Combine all terms: $25a^2 + 25a - 5a - 5$

Step2: Combine like terms

Combine the linear terms: $25a - 5a = 20a$
Simplified expression: $25a^2 + 20a - 5$

Answer:

$25a^2 + 20a - 5$