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Multiplication of Any Polynomial

i Simplify: x...

Question

Question 3(i)
Simplify:
$(x^{2} - 5) (x + 5) + 25$

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Solution

$(x^{2} - 5) (x + 5) + 25 = x^{2} (x + 5) - 5 (x + 5) + 25$
$= x^{2} \times x + x^{2} \times 5 - 5 \times x - 5 \times 5 + 25$
$= x^{3} + 5 x^{2} - 5 x - 25 + 25$
$= x^{3} + 5 x^{2} - 5 x$

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Question 3(i)
Simplify:
$(x^{2} - 5) (x + 5) + 25$

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Multiplication of Any Polynomial

Standard VIII Mathematics

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