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Concept of Inequality

The H.C.F. an...

Question

The H.C.F. and L.C.M of two expression are (a − 7) and (a³ − 10a² + 11a + 70) respectively. If one of the expressions is (a² − 12a + 35) find the other.

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Solution

It is given that, and, where A is one of the expressions.

We need to find the other expression.

We know that

Hence, the other expression is.

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Similar questions

(a - 7)

(a^{3} - 10 a^{2} + 11 a + 70)

(a^{2} - 12 a + 35)

h (a) = a - 7

m (a) = a^{3} - 10 a^{2} + 11 a + 70

p (a) = a^{2} - 12 a + 35

q (a)

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(x - 3)

(x^{3} - 5 x^{2} - 2 x + 24)

(x^{2} - 7 x + 12)

The H.C.F. and L.C.M. of two expression are (x − 3) and (x³ − 5x² − 2x + 24) respectively. If one of the expression is (x² − 7x + 12) find the other.

The H.C.F and L.C.M. of the two expression are (m − 3) and (m³ + m² − 17m + 15) respectively. Find the expressions.

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