Question

Solve it using (x+a)(x+b)=x²+(a+b)x+ab

please give me the answer
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Answer 1

(³/₄·m - ²/₅·n)(³/₄·m + ⁷/₂·n) = ⁹/₁₆·m² + ⁹³/₄₀·mn - ⁷/₅·n²

Explanation:

When multiplying multiple term expressions in brackets by one another, we need to multiply each term in one bracket by every term in the other bracket;

So:

(³/₄·m - ²/₅·n)(³/₄·m + ⁷/₂·n) = (³/₄·m × ³/₄·m) + (³/₄·m × ⁷/₂·n) + (-²/₅·n × ³/₄·m) + (-²/₅·n × ⁷/₂·n)

= ⁹/₁₆·m² + ²¹/₈·mn - ³/₁₀·mn - ⁷/₅·n²

= ⁹/₁₆·m² + ⁹³/₄₀·mn - ⁷/₅·n²

Answer 2

This is the best I could do. I’m not sure if you want it in that form or not. But I have factored everything. Hope this helps.