Advertisements
Advertisements
प्रश्न
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[\left( 5 - x \right)\left( 6 - 5x \right)\left( 2 - x \right)\]
\[ = \left[ \left( 5 - x \right)\left( 6 - 5x \right) \right]\left( 2 - x \right)\]
\[= \left[ 5\left( 6 - 5x \right) - x\left( 6 - 5x \right) \right]\left( 2 - x \right)\] (Distributive law)
\[= \left( 30 - 25x - 6x + 5 x^2 \right)\left( 2 - x \right)\]
\[ = \left( 30 - 31x + 5 x^2 \right)\left( 2 - x \right)\]
\[ = 2\left( 30 - 31x + 5 x^2 \right) - x\left( 30 - 31x + 5 x^2 \right)\]
\[ = 60 - 62x + 10 x^2 - 30x + 31 x^2 - 5 x^3\]
\[= 60 - 62x - 30x + 10 x^2 + 31 x^2 - 5 x^3\] (Rearranging)
\[= 60 - 92x + 41 x^2 - 5 x^3\] (Combining like terms)
Thus, the answer is \[60 - 92x + 41 x^2 - 5 x^3\].
APPEARS IN
संबंधित प्रश्न
Find the following product:
1.5x(10x2y − 100xy2)
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Multiply:
(7x + y) by (x + 5y)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Show that: (3x + 7)2 − 84x = (3x − 7)2
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Multiply:
16xy × 18xy
