Question

8. Use a suitable identity to get each of the following products
a. (6x+ 5y)?
d. (2x + 5y) (2x + 3y)
b. (5xy - 3z)?
e. (x - 5) (x - 4)
c. (3a + 9b) (3a - 9b)
f. (p + 10) (p - 11)

please give proper answer
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Answer 1

Answer:

Basically all the above-mentioned individual questions follows these Algebraic identities

1) (a+b)*(a+b) = a^2 + b^2 + 2*a*b (or)

2) (a+b)*(a-b) = a^2 - b^2 (or)

3) (a-b)*(a-b) = a^2 + b^2 - 2*a*b

Step-by-step explanation:

For instance,

d. (2x+5y) (2x+3y)

Using the concepts from above identitiies, this can be simplified as-

2x(2x+3y) + 5y(2x+3y)

= 4x^2 + 6xy + 10yx + 15y^2

= 4x^2 + 15y^2 + 16xy ------> Eq1

This Eq1 alone can't be solved as it would have infinite number of possibilities as it's 1 equation and 2 variables.

However, if in your question, sub-questions from "a" through "f" are inter-related, then you can solve for the overall question by substituting values obtained after simplifying the equations in others equations.