Question

(iv) The H.C.F of the algebraic expressions (2m + 5n) (2m - 5n) and mn (2m-5n) is (a) 1 (b) mn (2m+5n) (2m-5n) (c) (2m+5n) (d) (2m-5n).
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guys please I need help​

Answer 1

Given that:

Algebraic expressions,

• (2m + 5n) (2m - 5n)
• mn (2m - 5n)

To Find:

• The H.C.F. of the algebraic expressions.

Using prime factorisation method.

• Factors of (2m + 5n) (2m - 5n) = (2m + 5n) × (2m - 5n)
• Factors of mn (2m - 5n) = m × n × (2m - 5n)
• Common factors = (2m - 5n)

H.C.F. [(2m + 5n) (2m - 5n), mn (2m - 5n)] = (2m - 5n)

Hence,

• The H.C.F. of the algebraic expressions is (d) (2m - 5n).

Answer 2

Answer:

Step-by-step explanation:

The answer is option D is correct (2m-5n)