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प्रश्न
Factorize each of the following expression:
16a4 − b4
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उत्तर
\[16 a^4 - b^4 \]
\[ = (4 a^2 )^2 - ( b^2 )^2 \]
\[ = (4 a^2 + b^2 )(4 a^2 - b^2 )\]
\[ = (4 a^2 + b^2 )[(2a )^2 - b^2 ]\]
\[ = (4 a^2 + b^2 )(2a + b)(2a - b)\]
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A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
