Question

multiply these following questions​

Answer 1

(1) The multiplication is as follows:

(x²y²z² ) × (xy-yz + zx)

= (x²y²z² × xy - x²y²z² × yz + x²y²z² × zx)

= x³y³z²- x²y³z³ + x³y²z³

The product is = x³y³z²- x²y³z³ + x³y²z³

(2) The mulitiplication is as follows :-

$\frac{-100}{9}rs * \frac{3}{4} r ^{3}s^{2} \\\\= \frac {-100\ *\ rs\ * \ 3 \ * \ r ^{3}s^{2} } {9 \ * 4 } \\\\= \frac{-25 * r^{4} s^{3} } {3} \\\\= \frac{-25r^{4}s^{3} } {3}$

The product is -25 r⁴s³ /3 .

(3) The multiplication is as follows :-

$(\frac{3}{2} p^{2} + \frac{2}{3} q^{2} ) * ( 2p^{2} - 3q^{2} )\\\\= 3p^{4} - 2 q^{4}$

The product is 3p⁴ - 2q⁴.

(4)  The multiplication is as follows :-

$(\frac{-a}{7} + \frac{a^{2} }{9} ) * (\frac{b}{2} - \frac{b^{2} }{3} ) \\\\= \frac{-ab}{14} \frac{-a^{2}b^{2} }{27} \\\\= - ab ( \frac{ab}{27} + \frac{1}{14} )$

The product is -ab ( ab/27+ 1/14)

(5) The multiplication is as follows :-

(3x² + 4x - 8 ) × ( 2x² - 4x + 3 )

⇒6x⁴ - 12x³ + 9x² + 8x³ -16x² + 12x - 16x² + 32x - 24

⇒ 6x⁴ - 4x³ - 23x² +  44x - 24

The product is 6x⁴ - 4x³ - 23x² +  44x - 24