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Addition and Subtraction of Polynomials

Question 84 x...

Question

Question 84 (x)

Simplify

$(b^{2} - 49) (b + 7) + 343$

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Solution

We have,
$(b^{2} - 49) (b + 7) + 343 = b^{2} (b + 7) - 49 (b + 7) + 343 = b^{3} + 7 b^{2} - 49 b - 343 + 343 = b^{3} - 49 b + 7 b^{2}$

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Question 84 (x)

Simplify

$(b^{2} - 49) (b + 7) + 343$

Question 84 (b)

Simplify $[{(\frac{7}{11})}^{5} \div {(\frac{7}{11})}^{2}] \times {(\frac{7}{11})}^{2}$

Question 84 (iii)

Simplify

${(\frac{7}{9} a + \frac{9}{7} b)}^{2} - a b$

(16^{- 1 / 5})^{5 / 2}

\sqrt[5]{{(32)}^{- 3}}

\sqrt[3]{(343)^{- 2}}

(0.001)^{1 / 3}

\frac{(25)^{3 / 2} \times (243)^{3 / 5}}{(16)^{5 / 4} \times (8)^{4 / 3}}

{(\frac{\sqrt{2}}{5})}^{8} \div {(\frac{\sqrt{2}}{5})}^{13}

{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

7^{3} = 343

\sqrt[3]{343} = ?

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