Question

3(2x – 3y) - 2(2x – 3y}​

Answer 1

refer to the attachment

Answer 2

Answer:

ˢᵀᴱᴾ

1

:

ᴱqᵘᵃᵗⁱᵒⁿ ᵃᵗ ᵗʰᵉ ᵉⁿᵈ ᵒᶠ ˢᵗᵉᵖ 1

((2ˣ-(3•(ʸ2)))3)+((2ˣ-(3ʸ2))2)

ˢᵀᴱᴾ

2

:

ᴱqᵘᵃᵗⁱᵒⁿ ᵃᵗ ᵗʰᵉ ᵉⁿᵈ ᵒᶠ ˢᵗᵉᵖ

2

:

((2ˣ - (3ʸ2))3) + (2ˣ - 3ʸ2)2

ˢᵀᴱᴾ

3

:

ᴾᵘˡˡⁱⁿᵍ ᵒᵘᵗ ˡⁱᵏᵉ ᵗᵉʳᵐˢ

3.1 ᴾᵘˡˡ ᵒᵘᵗ (2ˣ-3ʸ2)2

ᴬᶠᵗᵉʳ ᵖᵘˡˡⁱⁿᵍ ᵒᵘᵗ, ʷᵉ ᵃʳᵉ ˡᵉᶠᵗ ʷⁱᵗʰ :

(2ˣ-3ʸ2)2 • ( (2ˣ-3ʸ2) - (-1) ))

ᵀʳʸⁱⁿᵍ ᵗᵒ ᶠᵃᶜᵗᵒʳ ᵃˢ ᵃ ᴰⁱᶠᶠᵉʳᵉⁿᶜᵉ ᵒᶠ ˢqᵘᵃʳᵉˢ:

3.2 ᶠᵃᶜᵗᵒʳⁱⁿᵍ: 2ˣ-3ʸ2

ᴾᵘᵗ ᵗʰᵉ ᵉˣᵖᵒⁿᵉⁿᵗ ᵃˢⁱᵈᵉ, ᵗʳʸ ᵗᵒ ᶠᵃᶜᵗᵒʳ 2ˣ-3ʸ2

ᵀʰᵉᵒʳʸ : ᴬ ᵈⁱᶠᶠᵉʳᵉⁿᶜᵉ ᵒᶠ ᵗʷᵒ ᵖᵉʳᶠᵉᶜᵗ ˢqᵘᵃʳᵉˢ, ᴬ2 - ᴮ2 ᶜᵃⁿ ᵇᵉ ᶠᵃᶜᵗᵒʳᵉᵈ ⁱⁿᵗᵒ (ᴬ+ᴮ) • (ᴬ-ᴮ)

ᴾʳᵒᵒᶠ : (ᴬ+ᴮ) • (ᴬ-ᴮ) =

ᴬ2 - ᴬᴮ + ᴮᴬ - ᴮ2 =

ᴬ2 - ᴬᴮ + ᴬᴮ - ᴮ2 =

ᴬ2 - ᴮ2

ᴺᵒᵗᵉ : ᴬᴮ = ᴮᴬ ⁱˢ ᵗʰᵉ ᶜᵒᵐᵐᵘᵗᵃᵗⁱᵛᵉ ᵖʳᵒᵖᵉʳᵗʸ ᵒᶠ ᵐᵘˡᵗⁱᵖˡⁱᶜᵃᵗⁱᵒⁿ.

ᴺᵒᵗᵉ : - ᴬᴮ + ᴬᴮ ᵉqᵘᵃˡˢ ᶻᵉʳᵒ ᵃⁿᵈ ⁱˢ ᵗʰᵉʳᵉᶠᵒʳᵉ ᵉˡⁱᵐⁱⁿᵃᵗᵉᵈ ᶠʳᵒᵐ ᵗʰᵉ ᵉˣᵖʳᵉˢˢⁱᵒⁿ.