Question

evaluate the following product without multiplying directly .
91 × 96
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Answer 1

Answer:

Step-by-step explanation:

91 * 96 = (100 - 9 ) ( 100 - 4)

Using the identity, (x + a)(x+b) = x² + (a + b)x + ab

x = 100 , a = -9 , b = -4

  = (100)² + (-9-4)100 + (-9)(-4)

  = 10000 + (-13)100 + 36

  = 10000 - 1300 + 36

  = 8736.

Answer 2

$\huge\underline\mathbb{ANSWER}$

$91 \times 96$

$= > (90 + 1)(90 + 6)$

Now by Using indentity IV

$x^{2} +( a + b)x + ab$

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ATQ:-

$90^{2} + (1 + 6)90 + 1 \times 6$

$= > 8100 + 630 + 6$

$8736 \: Ans$

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Hope this helps u :)