Question

2x*4-6x*3y-6x*2y*2+8xy*3 И 6bm*2+9m*3-12m*4-3b*2×m*2

Answer 1

1)2x*4-6x*3y-6x*2y*2+8xy*3=8x-18xy-24xy+24xy=2x(4-9y)
2)6bm*2+9m*3-12m*4-3b*2*m*2=12bm+27m-48m-12bm=-21m

Answer 2

Let's simplify each expression step by step:

Expression 1: 2x4 - 6x3y - 6x2y2 + 8xy*3

Step 1: Simplify the terms with the same variable and exponent: 2x4 = 2x^4 6x3y = 6x^1 * y^3 = 6xy^3 6x2y2 = 6x^1 * y^2 * 2^2 = 24xy^2 8xy*3 = 8x^1 * y^1 * 3^1 = 24xy

Step 2: Combine the simplified terms: 2x^4 - 6xy^3 - 24xy^2 + 24xy

Expression 2: 6bm2 + 9m3 - 12m4 - 3b2×m*2

Step 1: Simplify the terms with the same variable and exponent: 6bm2 = 6b^1 * m^2 = 6bm^2 9m3 = 9m^3 12m4 = 12m^4 3b2×m*2 = 3b^1 * 2^1 * m^2 = 6bm^2

Step 2: Combine the simplified terms: 6bm^2 + 9m^3 - 12m^4 - 6bm^2

Step 3: Combine like terms: (6bm^2 - 6bm^2) + 9m^3 - 12m^4

Since 6bm^2 and -6bm^2 cancel each other out, the final expression is: 9m^3 - 12m^4

So, the simplified expressions are:

Expression 1: 2x^4 - 6xy^3 - 24xy^2 + 24xy Expression 2: 9m^3 - 12m^4