Question

expand using suitable identities 2 x minus 3 y whole square​

Answer 1

Answer:

36y2

Step-by-step explanation:

[2x (-3y)]2

(2)2 × (-3y)2

4 × 9y2

36y2

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Answer 2

Expand using suitable identities 2 x minus 3 y whole square​

$(2x-3y)^2 =4x^2 - 12xy + 9y^2$

Solution:

Given that,

$(2x-3y)^2$

We have to use the suitable identity and solve

Use the following algebraic identity,

$(a-b)^2 = a^2-2ab+b^2$

From given,

$(2x-3y)^2$

a = 2x

b = 3y

Therefore,

$(2x-3y)^2 = (2x)^2 - 2(2x)(3y) + (3y)^2\\\\Simplify\\\\(2x-3y)^2 =4x^2 - 12xy + 9y^2$

Thus given expression is expanded using suitable identity

Learn more about this topic

(2x-y+z)² expand using suitable identity

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Expand each of the following, using suitable identities:

(i) (x+2y+4z)^2

(ii) (2x - y + z)^2

(iii) (-2x+3y+2z)^2

(iv) (3a-7b-c)^2

(v) (-2x+5y-3z)^2

(vi) [a/4 - b/2 + 1]^2

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