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प्रश्न
Multiply:
(5x + 3) by (7x + 2)
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उत्तर
To multiply, we will use distributive law as follows:
\[\left( 5x + 3 \right)\left( 7x + 2 \right)\]
\[ = 5x\left( 7x + 2 \right) + 3\left( 7x + 2 \right)\]
\[ = \left( 5x \times 7x + 5x \times 2 \right) + \left( 3 \times 7x + 3 \times 2 \right)\]
\[ = \left( 35 x^2 + 10x \right) + \left( 21x + 6 \right)\]
\[ = 35 x^2 + 10x + 21x + 6\]
\[ = 35 x^2 + 31x + 6\]
Thus, the answer is \[35 x^2 + 31x + 6\] .
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Find the following product: \[\left( - \frac{7}{4}a b^2 c - \frac{6}{25} a^2 c^2 \right)( - 50 a^2 b^2 c^2 )\]
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Multiply:
(7x + y) by (x + 5y)
Multiply:
[−3d + (−7f)] by (5d + f)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Multiply:
(4x + 5y) × (9x + 7y)
