Question

① USE SUITABLE IDENTITIES TO FIND THE
PRODUCT
i) (x+4) (X + 10)
ii) (x+8)(x-10).​

Answer 1

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Answer 2

Given-

$(x + 4)(x + 10)$

$(x + 8)(x - 10)$

To find-

Their products.

Solution-

$(x + 4)(x + 10)$

➩ By using identity IV-

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

➩ ${x}^{2} + (4 + 10)x + (4 \times 10)$

➩ ${x}^{2} + 14x + 40$

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Second one-

By using the same identity we will solve it-

➩ $(x + 8)(x - 10)$

${x}^{2} + (8 + ( - 10))x + (8 \times -10)$

➩ ${x}^{2} -2x - 80$

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Some more identities-

➩ ${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

➩${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

➩ $(x + y)(x - y) = {x}^{2} + {y}^{2}$

➩ ${(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2zx$

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