Question

Question: Multiply the following expressions:-
1.) (2x²-5y²)×(x²+3y²)
Solution:-______________________________

2.) (x⁴+y⁴)×(x²-y²)
Solution:-______________________________
3.) (3x+2y-4)×(x-y+2)
Solution:-______________________________
4.) (2x²+3x-7)×(3x²-5x+4)
Solution:-______________________________
5.) (x³-5x²+3x+1)×(x²-3)
Solution:-______________________________​

Answer 1

Answer:

1. 2x^4 + x^2 y^2 - 15y^4

2. x^6-x^4*y^2+y^4*x^2 - y ^6

3. 3x^2 - 10x - 3y^2 -2y +8

4. 6x^4' x^3 - 28 x^2 + 47 x - 28

5. x^5 - 5x^4 + 16 x^2 - 9x -3

Step-by-step explanation:

(2x^2 - 5y^2) (x^2 + 3y^2)

2x^4 + 6x^2 y^2 - 5x^2y^2 - 15 y^4

2x^4 + x^2y^2 - 15y^4

2. (x^4 + y^4) (x^2 - y^2)

(x^4 * x^2) - (x^4 * y^2) + ( y^4* x^2) - (y^4* y^2)

x^6- x^2*y^2 + y^4* x^2 - y^6

3. (3x+2y-4) × (x-y-2)

3x^2 - 3xy - 6x + 3yx - 3 y^2 -6y^2 - 4x + 4y +8

3x^2 - 10 x - 3 y^2 - 2y +8

4.) (2x²+3x-7)×(3x²-5x+4)

2x^4* 3x^2 - 2x^2*5x + 2x^2*4 + 3x* 3x^2 - 3x*5x + 3x*4 -7*3x^2 + 7*5x - 7* 4

6x^4' x^3 - 28 x^2 + 47 x - 28

5.) (x³-5x²+3x+1)×(x²-3)

x^3*x^2 - x^3* 3 - 5x^4 + 3x^2*3 + 3x^3 -6x + x^2 -3

x^5 - 5x^4 + 16 x^2 - 9x -3