Question

square of (3x - 4y) is​

Answer 1

Answer:

9x² + 16y² - 24xy

Step-by-step explanation:

(3x - 4y)²

⇒ (3x)² + (4y)² - 2 (3x) (4y)                                            {(a - b)² = a² + b² - 2ab}

⇒ 3²x² + 4²y² - 2 (12xy)

⇒ 9x² + 16y² - 24xy

Answer 2

Given data: $(3x-4y)$

To Find: The square of $(3x-4y)$.

Solution:

Consider the given expression,$(3x-4y)$

The square of the expression can be written as, $(3x-4y)^{2}$

$(3x-4y)^{2}$ is in the form of $(a-b)^{2}$, where $a=3x,b=4y$

The formula for $(a-b)^{2}=a^{2}+b^{2}-2ab$

Substitute, $a=3x,b=4y$ in the formula,

$(3x-4y)^{2} =(3x)^{2}+(4y)^{2}-2(3x)(4y)$

$=(3^{2}.x^{2} )+(4^{2}.y^{2})-24xy$

$=9x^{2} +16y^{2}-24xy$

Therefore, the square of $(3x-4y)$ is $9x^{2} +16y^{2}-24xy$.