Answer:
x³ - 3x² + 5x - 6
Explanation:
Multiplication of algebraic expression:
1) (2x + y)(4x - 9) = 2x*(4x - 9) + y(4x - 9)
= 2x*4x - 2x*9 + y*4x - y *9
= 8x² - 18x + 4xy - 9y
2) (3x + 5y)²
Identity : (a + b)² = a² + 2ab + b²
a = 3x and b = 5y
(3x +5y)² = (3x)² + 2 * 3x *5y + (5y)²
= 9x² + 30xy + 25y²
3) (x -2)(x² - x + 3) = x*(x² - x + 3) - 2(x² - x + 3)
=x*x² - x*x + x*3 -2*x² + 2*x - 2*3
= x³ - x² + 3x - 2x² + 2x - 6
=x³ - x² - 2x² + 3x + 2x - 6
Combine like terms. Like terms have same variable with same exponent.
= x³ - 3x² + 5x - 6