(multipling binomals) (5x-2)(x+3)?

Answer 1

13x-6+5x square dis is da answer

Answer 2

The Product of Two Similar Binomials

If the corresponding terms of two binomials are similar, the binomials may be called similar.

You can multiply these in your head without having to copy them onto paper by using the FOIL method.

FOIL stands for: First...Outer...Inner...Last

Let's look at this problem: (5x-2)(x+3)

1)......( 5x - 2 ) ( x + 3 )....multiply first terms......(5x)(x) = 5x^2

2)......( 5x - 2 ) ( x + 3 )....multiply outer terms....(5x)(3) = 15x

3)......( 5x - 2 ) ( x + 3 )....multiply inner terms....(-2x)(x) = -2x

4)......( 5x - 2 ) ( x + 3 )....multiply last terms.......(-2)(3) = -6

Thus: 5x^2 + (15x - 2x) - 6
.........5x^2 + 13x - 6

Good Luck

Answer 3

5x * x = 5x^2
5x * 3 = 15x
-2 * x = -2x
-2 * 3 = -6

=5x^2 + 15x - 2x - 6
= 5x^2 + 13x - 6

Answer 4

In general, (a+b)(c+d) = ac + ad + bc + bd
So in this case:
5x^2 + 15x - 2x - 6 = 5x^2 + 13x - 6
Just a little practice and you can do it in your sleep

Answer 5

(5x - 2)(x + 3) = 5x^2 - 2x + 15x - 6 = 5x^2 + 13x - 6.

Answer 6

= 5x² + 15x - 2x - 6
= 5x² + 13x - 6

Answer 7

(5x-2)(x+3) use FOIL
First: 5x^2
Outside: 15x
Inside: -2x
Last: -6
______
5x^2+13x-6

Answer 8

(5x-2)(x+3)

FOIL

5x²+15x-2x-6

add like terms

5x²+13x-6

Answer 9

(5x-2)(x+3)
= (5x - 2)(x) + (5x - 2)(3)....... distributivity
= (x)(5x - 2) + (3)(5x - 2)........ commutitivity
= (x)(5x) + (x)(-2) + (3)(5x) + (3)(-2) ...... distributivity
= (5x)(x) + (-2)(x) + (3)(5x) + (3)(-2)........ commutitivity
= (5x)(x) + (-2)(x) + (15)(x) + (3)(-2)...... associativity
= (5x)(x) + (-2 + 15)(x) + (3)(-2)....distributivity
= 5x² + x -6...associativity and arithmetic.

Some of the steps can be combined, but I spit them up so you could see each one.