Without using a calculator evaluate 5×(88)²-720 using special algebraic identity

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asked Jan 10, 2023 135k views

2 Answers

Ohad The Lad · Answer 1 · 2023-01-16T04:51:34+0000

The evaluate the expression 5×(88)²-720 using a special algebraic we get the final result as 38000.

To evaluate the expression 5×(88)²-720 using a special algebraic identity, we can use the squaring property of a binomial.

The identity states that (a+b)² = a² + 2ab + b². In this case, we have (88)², which can be written as (80 + 8)².

Using the special algebraic identity, we can now expand (80 + 8)² as (80)² + 2(80)(8) + (8)².

Simplifying further, we get 6400 + 1280 + 64 = 7744.

Finally, we substitute this value back into the original expression, which gives us 5×7744 - 720 = 38720 - 720 = 38000.

So therefore the final result is 38000.