1) \( \left(3 x^{2}\right)\left(4 x^{3}\right) \) 2 Simplify simultar - \( \frac{10 x^{4}}{2 x^{2}} \) (1) A schao schoul bi pnce of 3 Simplify (2) \[ (x+2)(x-3) \] the 4 Simply Simplify \[ \frac{6 x^{3} y^{2}}{2 x^{2} y} \] (3) 5 untiply: \[ (2 x+3)(x-4) \] © 6 Multiply \[ 4(x+2 y-5) \] Simplify \[ \left(x^{2}-4 x+4\right) \div(x-2) \] Multiply and Simplify \[ (x+1)\left(x^{2}-x+3\right) \] Find the product: \[ (x-5)(x+5) \]

When multiplying polynomials like \( (3x^2)(4x^3) \), think of it as collecting like terms. Here, you multiply the coefficients (3 and 4) to get 12, and then you add the exponents of \( x \) (2 + 3 = 5). So, the result is \( 12x^5 \). It’s a bit like a math dance; just keep your rhythm with those coefficients and exponents! For problems like \( \frac{10x^4}{2x^2} \), remember that you can simplify both the coefficients and the variables separately. Divide 10 by 2 to get 5, and for the variables, subtract the exponents (4 - 2 = 2). So, you'll happily land at \( 5x^2 \). It’s all about making the math as easy as pie!