Question

write all algebraic identities and it's 2 example.
Like
${(a + b)}^{2} = {(a)}^{2} + 2 \times a \times b + {(b)}^{2}$
e.g
${(2x + 3)}^{2} = {(2x)}^{2} + 2 \times 2x \times 3 + {(3)}^{2} = {4x}^{2} + 12x + 9$1.
${(a - b)}^{2} =$
2.

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

3.
$(a + b)(a - b) =$
4.
${(a + b)}^{3} =$
5.
${(a - b)}^{3} =$

Answer 1

2.
$(x + a)(x + b) {}^{2} = (x + a)((x) {}^{2} + (b) {}^{2} + 2xb)$
e.g,
$(x + 2)(x + 4) {}^{2} = (x + 2)((x) {}^{2} + (4) {}^{2} + 2 \times x \times 4)$

3.
$(a + b)(a - b) = (a {}^{2} - b {}^{2})$
e.g,
$(4x + 5)(4x - 5) = (4x {}^{2} - 5 {}^{2})$
4.
$(a + b) {}^{3} = (a) {}^{3} + (b) {}^{3} + 3ab(a + b)$
e.g ,
$(2x + 2) {}^{3} = (2x) {}^{3} + (2) {}^{3} + 3 \times 2x \times 2(2x + 2)$
5.
$(a - b) {}^{3} = (a) {}^{3} - (b) {}^{3} - 3ab(a - b)$
e.g,
$(3x - 4x) {}^{3} = (3x) {}^{3} - (4x) {}^{3} - 3 \times 3x \times 4x(3x - 4x)$
I hope this will help you.