Question

1) -8x +5+(-11x-8+x²) 2) -6a +b -(-5a+8b-1) 3) (-4x) * (-3x³-8) 4) (-7a+1)*(-2+5a)

Answer 1

Let's simplify each of these expressions step by step:

1. -8x + 5 + (-11x - 8 + x²) First, let's combine like terms: -8x + (-11x) = -19x So, the expression simplifies to: -19x + 5 + x²

2. -6a + b - (-5a + 8b - 1) First, distribute the negative sign inside the parentheses: -6a + b + 5a - 8b + 1

Now, let's combine like terms: (-6a + 5a) = -a (b - 8b) = -7b So, the expression simplifies to: -a - 7b + 1

3. (-4x) * (-3x³ - 8) Multiply the terms inside the parentheses: (-4x) * (-3x³) = 12x^4 (-4x) * (-8) = 32x

So, the expression simplifies to: 12x^4 + 32x

4. (-7a + 1) * (-2 + 5a) Now, let's use the distributive property to multiply the terms: (-7a * -2) = 14a (-7a * 5a) = -35a^2 (1 * -2) = -2 (1 * 5a) = 5a

So, the expression simplifies to: 14a - 35a^2 - 2 + 5a

Now, let's combine like terms: (14a + 5a) = 19a So, the final simplified expression is: -35a^2 + 19a - 2