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Addition and Subtraction of Algebraic Expressions

How much is 2...

Question

Question 61

How much is $21 a^{3} - 17 a^{2}$ less than $89 a^{3} - 64 a^{2} + 6 a + 16 ?$

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Solution

Required expression is
$89 a^{3} - 64 a^{2} + 6 a + 16 - (21 a^{3} - 17 a^{2}) = 89 a^{3} - 64 a^{2} + 6 a + 16 - 21 a^{3} + 17 a^{2}$
On combining the like terms,
$= 89 a^{3} - 21 a^{3} - 64 a^{2} + 17 a^{2} + 6 a + 16 = 68 a^{3} - 47 a^{2} + 6 a + 16$
So, $21 a^{3} - 17 a^{2}$ is $68 a^{3} - 47 a^{2} + 6 a + 16$ less than $89 a^{3} - 64 a^{2} + 6 a + 16$ .

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Addition and Subtraction of Algebraic Expressions

Standard VII Mathematics

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