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Finding the Value of an Expression

d Find the va...

Question

Question 66 (d)

Find the value of the given polynomial at a = -2 and b = 3.

$a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}$

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Solution

Given, a = -2 and b = 3
So, putting a = -2 and b = 3 in the given expression, we get
$a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3} = (- 2)^{3} - 3 (- 2)^{2} (3) + 3 (- 2) (3)^{2} - (3)^{3} = - 8 - 36 - 54 - 27 = - 125$

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Find the value of $a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$ , when a = 5 and b = 3.

Q. Among the following, the correct statement is

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

\frac{a^{3} + 3 {a b}^{2}}{b^{3} + 3 a^{2} b} = \frac{63}{62}

. Using componendo and dividendo find

a : b

and write the value of

\frac{a}{b} + \frac{1}{2}

Which of the following is an expansion of the identity ${(a - b)}^{3}$ ?

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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Finding the Value of an Expression

Standard VII Mathematics

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