Question

Find the square of 87 without actual multiplication

Answer 1

★ Answer :-

• The square of 87 without actual multiplication is 7569.

★ To find :-

• The square of 87 without actual multiplication.

★ Step-by-step explanation :-

• The given number is 87. As we have to find its square without actual multiplication, we will use an algebraic identity for doing so.

The square of 87 is -

$\longmapsto \bf{87}^{2}$

Splitting it into two parts,

$\longmapsto \bf {(80 + 7)}^{2}$

Here -

• Let 80 be "a" and 7 be "b".

Using the algebraic identity (a + b)² = a² + 2ab + b² -

$\longmapsto \bf (80 + 7)^{2}$

$\longmapsto \bf {80}^{2} + 2 \times 80 \times 7 + {7}^{2}$

$\longmapsto \bf 6400 + 1120 + 49$

$\longmapsto \bf 7569$

Thus -

• The square of 87 without actual multiplication is 7569.

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Answer 2

Question :-

Find the square of 87 without actual multiplication.

Answer :-

• 87² = 7569

Step by step explanation :-

Here, we have to find the square of 87 without actual multiplication, then here we use algebraic identity to solve this.

Algebraic Identity :

• $\rm(a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2}$

We have to split 87 into two parts because we have a and b.

Now,

→ 80 + 7 (a = 80 and b = 7)

Finding square of 87

$\rm:\longmapsto{(80 + 7) {}^{2} = (80) {}^{2} + 2(80)(7) + (7) {}^{2} } \\ \\ \rm:\longmapsto{(80 + 7) {}^{2} = 6400 + 1120 + 49} \: \: \: \: \: \: \: \: \: \: \: \\ \\\rm:\longmapsto{(80 + 7) {}^{2} = 7569} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm \therefore \underline{\boxed{ (87) {}^{2} = 7569}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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Learn more from brainly :

Without performing actual addition find the quotient when the sum of 78 and 87 is divided by 15.

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