Question

bracket 4x by 5 - 3 / 4 bracket close again bracket 4 x by 5 + 3 y by 4 bracket close

Answer 1

I will simplify from the inside out: first the parentheses, then the square brackets, being careful to remember that the "minus" sign on the 3 in front of the brackets goes with the 3. Only once the grouping parts are done will I do the division, followed by adding in the 4.

4 – 3[4 –2(6 – 3)] ÷ 2

4 – 3[4 – 2(3)] ÷ 2

4 – 3[4 – 6] ÷ 2

4 – 3[–2] ÷ 2

4 + 6 ÷ 2

4 + 3

7

Remember that, in leiu of grouping symbols telling you otherwise, the division comes before the addition, which is why this expression simplified, in the end, down to "4 + 3", and not "10 ÷ 2".

Answer 2

$( \frac{4x}{5} - \frac{3}{4} )( \frac{4x}{5} + \frac{3y}{4} ) \\ = \frac{4x}{5} \times \frac{4x}{5} + \frac{4x}{5} \times \frac{3y}{4} - \frac{3}{4} \times \frac{4x}{5} - \frac{3}{4} \times \frac{3y}{4} \\ = \frac{16 {x}^{2} }{25} + \frac{3xy}{5} - \frac{3x}{5} - \frac{9y}{16}$