Advertisements
Advertisements
प्रश्न
Simplify:
(5x + 3)(x − 1)(3x − 2)
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[\left( 5x + 3 \right)\left( x - 1 \right)\left( 3x - 2 \right)\]
\[ = \left[ \left( 5x + 3 \right)\left( x - 1 \right) \right]\left( 3x - 2 \right)\]
\[= \left[ 5x\left( x - 1 \right) + 3\left( x - 1 \right) \right]\left( 3x - 2 \right)\] (Distributive law)
\[= \left[ 5 x^2 - 5x + 3x - 3 \right]\left( 3x - 2 \right)\]
\[ = \left[ 5 x^2 - 2x - 3 \right]\left( 3x - 2 \right)\]
\[ = 3x\left( 5 x^2 - 2x - 3 \right) - 2\left( 5 x^2 - 2x - 3 \right)\]
\[ = 15 x^3 - 6 x^2 - 9x - \left[ 10 x^2 - 4x - 6 \right]\]
\[ = 15 x^3 - 6 x^2 - 9x - 10 x^2 + 4x + 6\]
\[= 15 x^3 - 6 x^2 - 10 x^2 - 9x + 4x + 6\] (Rearranging)
\[= 15 x^3 - 16 x^2 - 5x + 6\] (Combining like terms)
Thus, the answer is \[15 x^3 - 16 x^2 - 5x + 6\].
APPEARS IN
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Evaluate (−8x2y6) × (−20xy) for x = 2.5 and y = 1.
Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Solve:
(3x + 2y)(7x − 8y)
