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प्रश्न
Using identities, evaluate 78 × 82
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उत्तर
8 × 82 = (80 − 2) (80 + 2)
= (80)2 − (2)2 [(a + b) (a − b) = a2 − b2]
= 6400 − 4 = 6396
संबंधित प्रश्न
Find the following squares by suing the identities.
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Use an expansion formula to find the value.
(97)2
Use the formula to find the value.
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(x2 + y2)(y2 + x2) = (x2 + y2)2
If a + b = 10 and ab = 18, find the value of a2 + b2
If a + b = 5 and a2 + b2 = 13, then ab = ?
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
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Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.
