Question

multiply the following bionomial (1.5x +0.5y)(1.5x-0.5y)​

Answer 1

Answer:

(0.8x – 0.5y) (1.5x – 3y)

Suppose (a – b) and (c – d) are two binomials. By using the distributive law of multiplication over addition twice, we may find their product as given below.

(a – b) × (c – d) = a × (c – d) – b × (c – d) = (a × c – a × d) – (b × c – b × d)

= ac – ad – bc + bd

Let,

a= 0.8x, b= 0.5y, c= 1.5x, d= 3y

Now,

= 0.8x × (1.5x – 3y) – 0.5y × (1.5x – 3y)

= [(0.8x × 1.5x) + (0.8x × -3y)] – [(0.5y × 1.5x) + (0.5y × -3y)]

= [1.2x² – 2.4xy – 0.75yx + 1.5y²]

= [1.2x² – 3.15xy + 1.5y²]

Step-by-step explanation:

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Answer 2

Question:-

Multiply the following binomial (1.5x +0.5y)(1.5x-0.5y)

Solution:-

Given,

To find

$(1.5x + 0.5y)(1.5x - 0.5y)$

We have,

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

So, we get

${(1.5x)}^{2} - {(0.5)}^{2}$

$2.25x - 0.25y$

$0.25(9x + y)$