Simplify 6x55x6 x65 Simplify 5u4v56u6v7 Express as a polynom

Simplify. (6x5)(5x6) (x6)5

Simplify.

(5u⁴v⁵)(6u⁶v⁷)

Express as a polynomial. (Simplify your answer completely.)

(7x 4)(6x + 5)

Express as a polynomial. (Simplify your answer completely.)

(3x + 5)(2x² + 9x 5)

Simplify the expression.

2x² 17x + 8

Simplify the expression.

Solution

1.1

(6x^5)(5x^6) (x6)5 = (6*5 x^11 ) . (x^30)

[ by formula x^m .x^n = x^m+n and (x^m)^n = x^mn ]

= (30x^11).(x^30)

=30x^11+30

= 30x^41

1.2

(5u^4v^5)(6u^6v^7) = 30 (u^6+4 . v^5-7)

=30 (u^10.v^-2)

1.3

(7x 4)(6x + 5) = (7x)(6x) +7x.5 -4.6x -4.5

=42x^2 +35x -24x -20

=42x^2+11x-20

1.4

(3x + 5)(2x2 + 9x 5) = (3x+5) (2x^2 +10x-x -5)

= (3x+5) (2x(x+5) -1(x+5))

=(3x+5) (2x-1) (x+5)

= (6x^3 +27x^2 -15x +10x^2 +45x -25 )

=(6x^3 +37x^2+30x -25)

1.5

1.6

63 + 16r r2/ r3 9r2 = - (r^2 -16r +63) /r^2(r-9)

= - (r^2-9r-7r+63) /r^2(r-9)

=-(r(r-9) -7(r-9)) / r^2(r-9)

= -(r-9) (r-7)/r^2(r-9)

= -(r-7)/r^2

2x2 11x + 5 /2x2 17x + 8 = [2x^2 -10x-x+5] /[2x^2 -16x-x+8]

=[ 2x(x-5) -1(x-5) ] / [ 2x(x-8)-1(x-8)]

=(2x-1) (x-5)/(2x-1) (x-8)

= (x-5)/(x-8)