How would you expand and simplify this; (3x+4)(x–1) With working? I'm studying for a test and this was one of the example questions.
Expand the following:
(3 x+4) (x-1)
(3 x+4) (x-1) = (3 x) (x) + (3 x) (-1) + (4) (x) + (4) (-1):
3 x x+4 x-3 x-4
3 x x = 3 x^2:
3 x^2+4 x-3 x-4
4 x-3 x = x:
Answer: | 3x^2 + x - 4
+9664 \(\color{red}(3x+4)(x-1)\)
= \(\color{orange}3x(x-1)+4(x-1)\)<--- Multiplication Distributive Law
=\(\color{lime}(3x)(x)-(3x)(1)+4x-4\) <--- Multiplication Distributive Law again
= \(\color{blue}3x^2-3x+4x-4\)<--- Multiplying out the brackets.
= \(\color{purple}3x^2+x-4\)<--- Combining like terms. Finish.
