Question

(sin 2t - cos 2t)^2
Expand it

Answer 1

Answer:

hope it may help u

please mark it as a brainlist answer

Answer 2

Answer:

The answer is 1-2sin2tcos2t

Step-by-step explanation:

$(sin 2t - cos 2t)^2\\sin^22t+cos^2t-2sin2tcos2t\\also sin^22t+cos^2t=1$

Hence, $1-2sin2tcos2t$

Son on expanding the expression we finally get  $1-2sin2tcos2t$.

What does "expand and simplify" mean?

To expand and simplify an expression, we must multiply the parentheses and then simplify the resulting expression by collecting similar expressions.

Bracket expansion (or multiplication) is the process by which we remove brackets.

It is the reverse process of factorization. To expand the parentheses, we multiply everything outside the parentheses by everything inside the parentheses.

Once we unpack the parentheses, we can simplify the expression by collecting similar expressions.

Algebra existed as early as 2000 BC when early civilizations such as Phoenicia and Mesopotamia could engage in barter to exchange goods. To exchange goods more efficiently, people began to use letters to express goods; this gave rise to algebraic expressions.

How to expand expressions?

To expand the expression, just follow these simple tricks:

If the grouping is preceded by a plus (+) sign, multiply the number outside the grouping without changing the operator in the parentheses. For example, to extend:

a + (b − c + d) = a + b − c + d.

And if the grouping is preceded by a minus (-) sign, multiply the number outside by all the terms in the parentheses and change the sign of each term in the grouping sign, i.e. change plus to minus and vice versa. For example, a− (b − c + d) = a − b + c − d.

Use the distributive property to remove any brackets and parentheses and combine like expressions. The distributive property says that a (b + c) = ab + ac and a (b − c) = ab – ac.

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