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Find the product.

(5 x - 2)(-2 x + 3)

2007-05-18 18:12:23 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

-10x^2+14x-6

2007-05-18 18:16:37 · answer #1 · answered by bruinfan 7 · 0 3

In multiplying this kind, use the distributive property of multiplication.

( a + b) (c + d) = (a x c) + (a x d) + (b x c) + (b x d)

But remember that:
1) the product of two negative numbers is always POSITIVE or +
(-a) x (-b) = ab or + ab
2) the product of one negative and one postive number is always NEGATIVE or -
(-a) x (b) = -ab
(a) x (-b) = -ab

(5x - 2) (-2x + 3) =
(5x * (-2x) + (5x *3) + ((-2)*(-2x) + ((-2) * (3)) =
-10x^2 + 15x + 4x - 6 =
-10x^2 + 19x - 6 ==> the answer

2007-05-18 18:31:57 · answer #2 · answered by detektibgapo 5 · 0 0

FOIL

or multiply each term by the other, best if done in order

5x(-2x) + 5x(3) -2(-2x) -2(3) =

-10x^2 + 15x + 4x - 6 =

Combine the like terms

-10^2 + 19x - 6

2007-05-18 18:17:59 · answer #3 · answered by Poetland 6 · 1 0

* = multiplication
^ = exponent is being used
(5x - 2) * (-2x +3)
simplify to -10x^2 + 19 * - 6
-10x^2 + 15 * x + 4 * x - 2 * 3
-10 * x^2 + 19 * x - 6

2007-05-18 18:29:26 · answer #4 · answered by 511@ 4 · 0 0

(5x-2)(-2x+3)
= -10x sq +15x +4x -6
= -10xsq +19x -6

2007-05-18 19:15:28 · answer #5 · answered by SmArTy SeHeR cHaNd 4 · 0 0

FOIL

(5x)(-2x) + (3)(5x) + (-2)(-2x) + (-2)(3)
-10x^2 + 15x + 4x -6
-10x^2 + 19x - 6

2007-05-18 18:17:15 · answer #6 · answered by Anonymous · 1 1

-10(x^2) + 19(x) - 6.

2007-05-18 18:20:00 · answer #7 · answered by karan 1 · 0 1

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