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Subtraction of Polynomials

Question 84 x...

Question

Question 84 (xiii)

Simplify

$(s^{2} t + t q^{2})^{2} - (2 s t q)^{2}$

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Solution

We have, $(s^{2} t + t q^{2})^{2} - (2 s t q)^{2}$
$= (s^{2} t)^{2} + (t q^{2})^{2} + 2 \times s^{2} t \times t q^{2} - 4 s^{2} t^{2} q^{2} = s^{4} t^{2} + t^{2} q^{4} - 2 s^{2} t^{2} q^{2}$

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Subtraction of Polynomials

Standard IX Mathematics

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