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प्रश्न
Find the following product: (x2 + 4) (x2 + 9)
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उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( x^2 + 4 \right)\left( x^2 + 9 \right)\]
\[ = \left( x^2 \right)^2 + \left( 4 + 9 \right)\left( x^2 \right) + 4 \times 9\]
\[ = x^4 + 13 x^2 + 36\]
संबंधित प्रश्न
Evaluate the following: 109 × 107
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Expand the following, using suitable identities.
(7x + 5)2
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
