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प्रश्न
Find the following product: (y2 − 4) (y2 − 3)
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उत्तर
Here, we will use the identity \[\left( x - a \right)\left( x - b \right) = x^2 - \left( a + b \right)x + ab\].
\[\left( y^2 - 4 \right)\left( y^2 - 3 \right)\]
\[ = \left( y^2 \right)^2 - \left( 4 + 3 \right)\left( y^2 \right) + 4 \times 3\]
\[ = y^4 - 7 y^2 + 12\]
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Find the following product: (3x2 − 4xy) (3x2 − 3xy)
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Simplify:
(ab – c)2 + 2abc
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Carry out the following division:
51x3y2z ÷ 17xyz
